As I discuss in this answer, one of the early movements that was important to the development of Vaishnavism was the ancient Pancharatra movement, whose sacred texts consisted of detailed procedures to worship the sage Narayana, an ancient incarnation of Vishnu. Since the Pancharatra texts originated from Narayana himself, they are followed by pretty much all mainstream Vaishnava Sampradayas, whether Sri Vaishnavas, Madhvas, Gaudiya Vaishnavas, etc. But as I discuss in this question, there's another group of Vishnu-worshippers who worship Vishnu according to an entirely different set of texts, the Vaikhanasas. The Vaikhanasas form a tiny minority, but they run a lot of famous Vishnu temples including the world-renowned Tirumala Venkateshwara temple.
Now compared to mainstream Vaishnavas, Vaikhanasas put less emphasis on Vedantic philosophy and more emphasis on rituals; Vaikhanasa doctrines are more about the construction and worship of idols and the like. But they still do engage in philosophy; the most famous Vaikhanasa philosopher is Srinivasa Dikshitar, a 13th century priest of Tirupati who wrote the Vaikhanasa commentary on the Brahma Sutras as I discuss in my question here. But my question is about another work of Srinivasa Dikshitar, the Dashavidhahetunirupana, which is a commentary on the Sutra texts of the Vaikhanasa Shakha (which I discuss here). In chapter 105 of that work he says this (translation courtesy of @Surya):
"trivakrāyām upaślokaḥ putraḥ kṛṣṇam anuvrataḥ |
śiṣyas sākṣān nāradasya dadau cittam akhaṇḍitam ||
tenoktaṃ sāttvataṃ tantraṃ yat jñātvā mokṣabhāg bhavet |
yatra strīśūdradāsānāṃ saṃskāro vaiṣṇavaḥ smṛtaḥ ||" iti
In the Srimad Bhagavatam, in the tenth Skandha [there is a quote which says] this: "Lord Krishna begat Upashloka in Trivakra. He was the sincere disciple of Devarshi Narada and learnt from him the Satvata Tantra which gives Moksha to its knower. The Satvata Tantra narrates the Vaishnava Samskaras for women, Shudras and Dasas."
This quote interests me for two reasons. First of all, it alludes to the story of Krishna having a child named Upashloka with the hunchback Kubja, AKA Trivakra or Sairandhri, immediately after killing Kamsa. As discussed in this question, this is a story mentioned in the Narayaneeyam, a poem summarizing the Srimad Bhagavatam, but it doesn't seem to be mentioned in the Srimad Bhagavatam itself.
Second of all, it relates to an important Vaikhanasa belief. The Pancharatra Agamas, referred to as Satvata Tantra here, prescribe an initiation ritual called Pancha Samskara, which among other things involves the branding of one's shoulders with the Shankha and Chakra symbols as you can see in this video. But as I discuss in this question, Vaikhanasa Brahmins consider themselves to be "Garbha Vaishnavas", i.e. they believe the Vishnu comes and initiates them in the womb into Vaikhanasa. So as described in page 130 of this book, Vaikhanasas believe that only low-caste people and women should do the branding ritual, and Srinivasa Dikshitar cites the putative Bhagavatam quote above to justify this belief. Now as a Sri Vaishnava, I think Brahmanas should also perform the Pancharatra initiation ritual, and I think that quote is just saying that the ritual can also be done by low-caste people and women. But regardless I'm interested in finding the quote.
So my question is, where in the 10th Skandha of the Srimad Bhagavatam is the quote given by Srinivasa Dikshitar? Here is the ISKCON translation of the 10th Skanda by A.C. Bhaktivedanta Prabhupada; the quote doesn't seem to be there.
But is it possible that there are multiple recensions of the Srimas Bhagavatam, and that the quote is simply not present in the particular manuscript used in the ISKCON translation?