Final answer:
Nathaniel and Bob Barker bonded over their shared affinity for jelly donuts, leading to Nathaniel's appearance on the show.
Step-by-step explanation:
Nathaniel bonded with Bob Barker over their mutual love of jelly donuts. This connection provided Nathaniel an opportunity to play on the show, showcasing how shared interests can often be a bridge for building rapport and relationships. The particular interest they bonded over, which falls into the more lighthearted and universal experiences, allowed for an immediate connection in an otherwise unfamiliar setting.