Beware, older languages below! The languages below were invented during Tolkien's earlier period and should be used with caution. Remember to never, ever mix words from different languages!

Qenya 

aiane

pronoun. anybody (thing, one) else; someone else, another

The correlative combinations ᴹQ. aiane or aine “anybody (thing, one) else; someone else, another” appeared Demonstrative, Relative, and Correlative Stems (DRC) from 1948 (PE23/103 and note #42), both proniminal forms of ᴹQ. aia- “other”. These replaced various rejected forms: {arane, are} >> {warane, ware} >> {astane, asse, anasse} >> aiane, aine.

Neo-Quenya: For purposes of Neo-Quenya I would use ᴺQ. hyaquen for “someone else, another”, Q. hya “other” and quén “person”.