The oxidation state of chromium in the final product formed by the reaction between $\text{KI}$ and acidified potassium dichromate solution is:

In acidic medium, potassium dichromate (${\text{K}}_2{\text{Cr}}_2{\text{O}}_7$) acts as a strong oxidizing agent.Reaction:
$${\text{Cr}}_2{\text{O}}_7^{2-}+14{\text{H}}^{+}+6{\text{I}}^{-}\to 2{\text{Cr}}^{3+}+3{\text{I}}_2+7{\text{H}}_2\text{O}$$
The dichromate ion (where $\text{Cr}$ is in $+6$ state) is reduced to the ${\text{Cr}}^{3+}$ ion.The final oxidation state of Chromium is $+3$.