Solution:
1. Given:
- The proportion 3:13 = 2:x.
2. Write the proportion as an equation:
\frac{3}{13} = \frac{2}{x}
3. Cross-multiply to solve for x:
- 3x = 2 \cdot 13
- 3x = 26
4. Solve for x:
- Divide both sides by 3:
- x = \frac{26}{3}
5. The value of x is:
- x = \frac{26}{3}