Finding the Third Proportional to 32.55 and 69.72

Step by Step Solution

1. Step 1: Write the proportion equation
   32.55 : 69.72 = 69.72 : x
2. Step 2: Convert to fraction form
   32.55/69.72 = 69.72/x
3. Step 3: Cross multiply
   32.55x = 69.72 × 69.72
4. Step 4: Simplify right side
   32.55x = 4,860.62
5. Step 5: Solve for x
   x = 4,860.62/32.55
6. Step 6: Final answer
   x = 149.33