Finding the Third Proportional to 32.59 and 51.61

Step by Step Solution

1. Step 1: Write the proportion equation
   32.59 : 51.61 = 51.61 : x
2. Step 2: Convert to fraction form
   32.59/51.61 = 51.61/x
3. Step 3: Cross multiply
   32.59x = 51.61 × 51.61
4. Step 4: Simplify right side
   32.59x = 2,663.53
5. Step 5: Solve for x
   x = 2,663.53/32.59
6. Step 6: Final answer
   x = 81.72