Èrshū méiyǒu háizi, wǒ fùmǔ bǎ wǒ guòjì gěi tā le.
Second Uncle had no children, so my parents gave me to him to adopt.
Tips
culture
过 ('to pass over') + 继 ('to continue/inherit'). Specifically refers to the traditional Chinese practice of adopting within the extended family — a younger brother's son might be 过继 to an older childless brother to continue the family line.