Finding the Third Proportional to 32,706.50 and 71,641

Step by Step Solution

1. Step 1: Write the proportion equation
   32,706.50 : 71,641 = 71,641 : x
2. Step 2: Convert to fraction form
   32,706.50/71,641 = 71,641/x
3. Step 3: Cross multiply
   32,706.50x = 71,641 × 71,641
4. Step 4: Simplify right side
   32,706.50x = 5,132,432,881
5. Step 5: Solve for x
   x = 5,132,432,881/32,706.50
6. Step 6: Final answer
   x = 156,923.94