Answer
x=$\frac{25}{2}$
Work Step by Step
In order to solve for x the proportion $\frac{5}{6}$=$\frac{x}{15}$, we must apply the Cross Products Property of a Proportion that states that if $\frac{a}{b}$=$\frac{c}{d}$, where b$\ne$0 and d$\ne$0, then ad=bc.
We'll set a=5, b=6, c=x and d=15, and apply the Property.
$\frac{5}{6}$=$\frac{x}{15}$
(5)(15)=(x)(6)
75=6x
Then, to solve for x, we'll divide by 6 on both sides of the equation
$\frac{75}{6}$=$\frac{6x}{6}$
x=$\frac{75}{6}$=$\frac{25}{2}$