Finding the Third Proportional to 9,380.25 and 14,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380.25 : 14,476.50 = 14,476.50 : x
2. Step 2: Convert to fraction form
   9,380.25/14,476.50 = 14,476.50/x
3. Step 3: Cross multiply
   9,380.25x = 14,476.50 × 14,476.50
4. Step 4: Simplify right side
   9,380.25x = 209,569,052.25
5. Step 5: Solve for x
   x = 209,569,052.25/9,380.25
6. Step 6: Final answer
   x = 22,341.52