Finding the Third Proportional to 14,976 and 32,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,976 : 32,233.50 = 32,233.50 : x
2. Step 2: Convert to fraction form
   14,976/32,233.50 = 32,233.50/x
3. Step 3: Cross multiply
   14,976x = 32,233.50 × 32,233.50
4. Step 4: Simplify right side
   14,976x = 1,038,998,522.25
5. Step 5: Solve for x
   x = 1,038,998,522.25/14,976
6. Step 6: Final answer
   x = 69,377.57