Finding the Third Proportional to 14,424 and 22,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,424 : 22,285.50 = 22,285.50 : x
2. Step 2: Convert to fraction form
   14,424/22,285.50 = 22,285.50/x
3. Step 3: Cross multiply
   14,424x = 22,285.50 × 22,285.50
4. Step 4: Simplify right side
   14,424x = 496,643,510.25
5. Step 5: Solve for x
   x = 496,643,510.25/14,424
6. Step 6: Final answer
   x = 34,431.75