Answer
example: $
\frac{3}{x}=\frac{1}{2}
$
extremes: $3$ and $2$
means: $x$ and $1$
solution: $x=6$ (using Cross Product property)
Work Step by Step
An example of a proportion is
$$
\frac{3}{x}=\frac{1}{2}
.$$
Since the proportion above can also be written as
$$
3:x=1:2
,$$ then $3$ and $2$ are called the extremes, while $x$ and $1$ are called the means.
Using
$$\frac{a}{b}=\frac{c}{d} \text{ implies } ad=bc,$$ or the Cross Product Property, the solution to the equation above is
$$\begin{aligned}
3(2)&=x(1)
\\
6&=x
.\end{aligned}
$$
Hence, by the Cross Product property, the solution is $x=6$.
