Finding the Third Proportional to 32.13 and 69.38

Step by Step Solution

1. Step 1: Write the proportion equation
   32.13 : 69.38 = 69.38 : x
2. Step 2: Convert to fraction form
   32.13/69.38 = 69.38/x
3. Step 3: Cross multiply
   32.13x = 69.38 × 69.38
4. Step 4: Simplify right side
   32.13x = 4,812.89
5. Step 5: Solve for x
   x = 4,812.89/32.13
6. Step 6: Final answer
   x = 149.82