Common nicknames for a third-generation boy (a "III" or a "the Third") include Trey, Tre, Trace, Tres, Tripp, and Skip.
These nicknames are derived from the Roman numeral "III," which is pronounced similarly to the word "three." "Trey" and "Tre" are phonetic spellings of "three," while "Tres" is "three" in Spanish. "Tripp" is a more playful variation. "Trace" may be a short form or variation of "Tres." "Skip" is not derived from "three," but can be used, possibly to "skip" the second generation of having the same name.