Finding the Third Proportional to 9,787.50 and 14,772.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,787.50 : 14,772.38 = 14,772.38 : x
2. Step 2: Convert to fraction form
   9,787.50/14,772.38 = 14,772.38/x
3. Step 3: Cross multiply
   9,787.50x = 14,772.38 × 14,772.38
4. Step 4: Simplify right side
   9,787.50x = 218,223,063.14
5. Step 5: Solve for x
   x = 218,223,063.14/9,787.50
6. Step 6: Final answer
   x = 22,296.10