x:5=7:½

To solve the proportion \( \frac{x}{5} = \frac{7}{\frac{1}{2}} \), we can first simplify the right side.

\[ \frac{7}{\frac{1}{2}} = 7 \times 2 = 14 \]

Now we have:

\[ \frac{x}{5} = 14 \]

Next, we can solve for \( x \) by multiplying both sides by 5:

\[ x = 14 \times 5 \]

Calculating that gives:

\[ x = 70 \]

So, the solution is \( x = 70 \).