Finding the Third Proportional to 32.38 and 69.13

Step by Step Solution

1. Step 1: Write the proportion equation
   32.38 : 69.13 = 69.13 : x
2. Step 2: Convert to fraction form
   32.38/69.13 = 69.13/x
3. Step 3: Cross multiply
   32.38x = 69.13 × 69.13
4. Step 4: Simplify right side
   32.38x = 4,778.27
5. Step 5: Solve for x
   x = 4,778.27/32.38
6. Step 6: Final answer
   x = 147.59