Finding the Third Proportional to 32,741 and 71,674

Step by Step Solution

1. Step 1: Write the proportion equation
   32,741 : 71,674 = 71,674 : x
2. Step 2: Convert to fraction form
   32,741/71,674 = 71,674/x
3. Step 3: Cross multiply
   32,741x = 71,674 × 71,674
4. Step 4: Simplify right side
   32,741x = 5,137,162,276
5. Step 5: Solve for x
   x = 5,137,162,276/32,741
6. Step 6: Final answer
   x = 156,903.04