Finding the Third Proportional to 9,205.50 and 14,400.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,205.50 : 14,400.56 = 14,400.56 : x
2. Step 2: Convert to fraction form
   9,205.50/14,400.56 = 14,400.56/x
3. Step 3: Cross multiply
   9,205.50x = 14,400.56 × 14,400.56
4. Step 4: Simplify right side
   9,205.50x = 207,376,200.32
5. Step 5: Solve for x
   x = 207,376,200.32/9,205.50
6. Step 6: Final answer
   x = 22,527.42