We would think it rather odd if someone said "Follow me, please, I'll show you to your thirds". It would sound perfectly normal, however, if the statement was "Follow me, please, I'll show you to your quarters".
Bernard, Thomas L.
"Information From the Highest Quarters,"
Word Ways: Vol. 30
, Article 17.
Available at: http://digitalcommons.butler.edu/wordways/vol30/iss3/17