Finding the Third Proportional to 32,610 and 71,471

Step by Step Solution

1. Step 1: Write the proportion equation
   32,610 : 71,471 = 71,471 : x
2. Step 2: Convert to fraction form
   32,610/71,471 = 71,471/x
3. Step 3: Cross multiply
   32,610x = 71,471 × 71,471
4. Step 4: Simplify right side
   32,610x = 5,108,103,841
5. Step 5: Solve for x
   x = 5,108,103,841/32,610
6. Step 6: Final answer
   x = 156,642.25