Finding the Third Proportional to 32,872 and 71,108

Step by Step Solution

1. Step 1: Write the proportion equation
   32,872 : 71,108 = 71,108 : x
2. Step 2: Convert to fraction form
   32,872/71,108 = 71,108/x
3. Step 3: Cross multiply
   32,872x = 71,108 × 71,108
4. Step 4: Simplify right side
   32,872x = 5,056,347,664
5. Step 5: Solve for x
   x = 5,056,347,664/32,872
6. Step 6: Final answer
   x = 153,819.29