Finding the Third Proportional to 32,677 and 71,577

Step by Step Solution

1. Step 1: Write the proportion equation
   32,677 : 71,577 = 71,577 : x
2. Step 2: Convert to fraction form
   32,677/71,577 = 71,577/x
3. Step 3: Cross multiply
   32,677x = 71,577 × 71,577
4. Step 4: Simplify right side
   32,677x = 5,123,266,929
5. Step 5: Solve for x
   x = 5,123,266,929/32,677
6. Step 6: Final answer
   x = 156,785.11