Finding the Third Proportional to 11,561 and 24,875.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,561 : 24,875.50 = 24,875.50 : x
2. Step 2: Convert to fraction form
   11,561/24,875.50 = 24,875.50/x
3. Step 3: Cross multiply
   11,561x = 24,875.50 × 24,875.50
4. Step 4: Simplify right side
   11,561x = 618,790,500.25
5. Step 5: Solve for x
   x = 618,790,500.25/11,561
6. Step 6: Final answer
   x = 53,523.96