Finding the Third Proportional to 14,242.50 and 20,513.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,242.50 : 20,513.25 = 20,513.25 : x
2. Step 2: Convert to fraction form
   14,242.50/20,513.25 = 20,513.25/x
3. Step 3: Cross multiply
   14,242.50x = 20,513.25 × 20,513.25
4. Step 4: Simplify right side
   14,242.50x = 420,793,425.56
5. Step 5: Solve for x
   x = 420,793,425.56/14,242.50
6. Step 6: Final answer
   x = 29,544.91