Finding the Third Proportional to 9,877.50 and 22,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,877.50 : 22,002.75 = 22,002.75 : x
2. Step 2: Convert to fraction form
   9,877.50/22,002.75 = 22,002.75/x
3. Step 3: Cross multiply
   9,877.50x = 22,002.75 × 22,002.75
4. Step 4: Simplify right side
   9,877.50x = 484,121,007.56
5. Step 5: Solve for x
   x = 484,121,007.56/9,877.50
6. Step 6: Final answer
   x = 49,012.50