The woman was nabbed and brought to her hometown in southeast Fujian province and was then made to have the surgery a week ago, reported the Shanghai Daily citing the Beijing News.
China is the world's most populous country with a population of 1.3 billion and it has a one-child norm. In neighbouring India, the world's seven billionth baby was born Monday.
Family planning officials from Fujian province had tracked down the woman, who delivered the second child four months back, in Guangdong province Oct 24.
The media report said that the officials locked her up and threatened that she wouldn't be allowed to leave till she undergoes surgery.
Hong Yanna, an official, said they searched for the woman as unauthorised births would impact their job performance.
The official said it was not an isolated case.