Finding the Third Proportional to 10,462.50 and 22,584.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.50 : 22,584.75 = 22,584.75 : x
2. Step 2: Convert to fraction form
   10,462.50/22,584.75 = 22,584.75/x
3. Step 3: Cross multiply
   10,462.50x = 22,584.75 × 22,584.75
4. Step 4: Simplify right side
   10,462.50x = 510,070,932.56
5. Step 5: Solve for x
   x = 510,070,932.56/10,462.50
6. Step 6: Final answer
   x = 48,752.30