Finding the Third Proportional to 11,572.50 and 24,897.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,572.50 : 24,897.75 = 24,897.75 : x
2. Step 2: Convert to fraction form
   11,572.50/24,897.75 = 24,897.75/x
3. Step 3: Cross multiply
   11,572.50x = 24,897.75 × 24,897.75
4. Step 4: Simplify right side
   11,572.50x = 619,897,955.06
5. Step 5: Solve for x
   x = 619,897,955.06/11,572.50
6. Step 6: Final answer
   x = 53,566.47