Finding the Third Proportional to 32,234.25 and 69,229.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,234.25 : 69,229.25 = 69,229.25 : x
2. Step 2: Convert to fraction form
   32,234.25/69,229.25 = 69,229.25/x
3. Step 3: Cross multiply
   32,234.25x = 69,229.25 × 69,229.25
4. Step 4: Simplify right side
   32,234.25x = 4,792,689,055.56
5. Step 5: Solve for x
   x = 4,792,689,055.56/32,234.25
6. Step 6: Final answer
   x = 148,683.13