## Thinking Mathematically (6th Edition)

$x=\frac{ab}{c}$.
Simplify the provided expression as follows: \begin{align} & \frac{x+a}{a}=\frac{b+c}{c} \\ & \frac{x}{a}+\frac{a}{a}=\frac{b}{c}+\frac{c}{c} \\ & \frac{x}{a}+1=\frac{b}{c}+1 \end{align} This can be further simplified as follows: \begin{align} & \frac{x}{a}=\frac{b}{c}+1-1 \\ & \frac{x}{a}=\frac{b}{c} \\ & x=\frac{ab}{c} \end{align} The solution for the provide proportion is $x=\frac{ab}{c}$.