Finding the Third Proportional to 32,809.50 and 71,633.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,809.50 : 71,633.25 = 71,633.25 : x
2. Step 2: Convert to fraction form
   32,809.50/71,633.25 = 71,633.25/x
3. Step 3: Cross multiply
   32,809.50x = 71,633.25 × 71,633.25
4. Step 4: Simplify right side
   32,809.50x = 5,131,322,505.56
5. Step 5: Solve for x
   x = 5,131,322,505.56/32,809.50
6. Step 6: Final answer
   x = 156,397.46