A beverage sample contains C$2$H$5$OH $($vapor pressure of pure C$2$H$5$OH is $61\mathrm{.}2$ mmHg$)$ at mole fraction of $0\mathrm{.}24,$ the rest is water $($vapor pressure of pure water, is $23\mathrm{.}8$ mmHg$).$ Calculate the mole fraction of C$2$H$5$OH in the VAPOR of the beverage sample.