To solve for $x$ in the proportion:

$\frac{6}{8} = \frac{5}{x}$

we can cross-multiply:

$6 \cdot x = 8 \cdot 5$

This simplifies to:

$6x = 40$

Now, divide both sides by 6 to isolate $x$:

$x = \frac{40}{6} = \frac{20}{3} \approx 6.67$

So, $x = \frac{20}{3}$ or approximately $x \approx 6.67$.

Would you like further details on this solution?

Here are five related questions for further practice:

1. If $\frac{7}{9} = \frac{10}{y}$, what is $y$?
2. Solve for $x$ in $\frac{4}{5} = \frac{3}{x}$.
3. If $\frac{8}{x} = \frac{12}{15}$, what is $x$?
4. How would you solve $\frac{10}{x} = \frac{15}{12}$?
5. For the equation $\frac{9}{x} = \frac{6}{7}$, find $x$.

Tip: When solving proportions, cross-multiplication is an effective method to find unknown values.