Answer
$\frac{5}{3}=1\frac{2}{3}
.$
Work Step by Step
We are given:
$\dfrac{8}{x}=\dfrac{24}{5}$
To solve the proportion, we cross multiply:
Set the product of the means equal to the product of the extremes and solve for x as follows,
$$
24x=8\cdot 5\Longrightarrow x=\frac{8\cdot 5}{24}=\frac{5}{3}=1\frac{2}{3}
.$$
