Have Kim Kardashian and Kanye West hired a surrogate in order to have a third child?

People magazine said Wednesday that it had confirmed a report first appearing earlier that morning on TMZ.com, saying that reality star Kardashian, 36, and her rapper husband, 40, have already begun the process.

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Kardashian had suffered from early-onset pre-eclampsia and delivered her first child, daughter North, who turned 4 on June 15, almost six weeks early. She additionally suffered from placenta accreta, a high-risk condition in which the placenta grows too deeply into the uterine wall, requiring surgery to remove. During her second pregnancy, Kardashian had to undergo an external cephalic version (ECV) to manually turn son Saint, now 18 months old, from a breech to a head-down position.

TMZ had detailed what appeared to be a surrogacy contract from an agency, which was said to include provisions for $45,000 paid in 10 equal installments, an additional $5,000 for each additional child if there are multiples and $4,000 payment if the surrogate loses reproductive organs.

As well, the site said, the surrogate may not smoke, drink alcohol or take drugs — presumably meaning recreational drugs and not doctor-prescribed medication — and agrees not to have sex for an undisclosed number of weeks before pregnancy and for three weeks following embryo implantation. The surrogate also must avoid hot tubs, saunas and cat litter, not use hair dye, not eat raw fish and drink no more than one caffeinated beverage daily.

Despite a history of fertility issues and troubled pregnancies, Kardashian has nonetheless said she wants to have a third child. “I’m going to try to have one more baby,” she told sisters Kourtney and Khloé Kardashian and their mother, Kris Jenner, in a March episode of E!’s “Keeping Up With the Kardashians.” She then said to the camera in an insert, “I want my kids to have siblings, but the doctors don’t feel like it’s safe for me.”