Finding the Third Proportional to 11,497.50 and 24,756.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,497.50 : 24,756.75 = 24,756.75 : x
2. Step 2: Convert to fraction form
   11,497.50/24,756.75 = 24,756.75/x
3. Step 3: Cross multiply
   11,497.50x = 24,756.75 × 24,756.75
4. Step 4: Simplify right side
   11,497.50x = 612,896,670.56
5. Step 5: Solve for x
   x = 612,896,670.56/11,497.50
6. Step 6: Final answer
   x = 53,306.95