Finding the Third Proportional to 32,741 and 71,026

Step by Step Solution

1. Step 1: Write the proportion equation
   32,741 : 71,026 = 71,026 : x
2. Step 2: Convert to fraction form
   32,741/71,026 = 71,026/x
3. Step 3: Cross multiply
   32,741x = 71,026 × 71,026
4. Step 4: Simplify right side
   32,741x = 5,044,692,676
5. Step 5: Solve for x
   x = 5,044,692,676/32,741
6. Step 6: Final answer
   x = 154,078.76