Finding the Third Proportional to 32,820 and 71,655

Step by Step Solution

1. Step 1: Write the proportion equation
   32,820 : 71,655 = 71,655 : x
2. Step 2: Convert to fraction form
   32,820/71,655 = 71,655/x
3. Step 3: Cross multiply
   32,820x = 71,655 × 71,655
4. Step 4: Simplify right side
   32,820x = 5,134,439,025
5. Step 5: Solve for x
   x = 5,134,439,025/32,820
6. Step 6: Final answer
   x = 156,442.38