Finding the Third Proportional to 11,562 and 24,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,562 : 24,877.50 = 24,877.50 : x
2. Step 2: Convert to fraction form
   11,562/24,877.50 = 24,877.50/x
3. Step 3: Cross multiply
   11,562x = 24,877.50 × 24,877.50
4. Step 4: Simplify right side
   11,562x = 618,890,006.25
5. Step 5: Solve for x
   x = 618,890,006.25/11,562
6. Step 6: Final answer
   x = 53,527.94