Finding the Third Proportional to 32,161.50 and 69,689.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,161.50 : 69,689.25 = 69,689.25 : x
2. Step 2: Convert to fraction form
   32,161.50/69,689.25 = 69,689.25/x
3. Step 3: Cross multiply
   32,161.50x = 69,689.25 × 69,689.25
4. Step 4: Simplify right side
   32,161.50x = 4,856,591,565.56
5. Step 5: Solve for x
   x = 4,856,591,565.56/32,161.50
6. Step 6: Final answer
   x = 151,006.38