Finding the Third Proportional to 11,569.50 and 24,895.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,569.50 : 24,895.69 = 24,895.69 : x
2. Step 2: Convert to fraction form
   11,569.50/24,895.69 = 24,895.69/x
3. Step 3: Cross multiply
   11,569.50x = 24,895.69 × 24,895.69
4. Step 4: Simplify right side
   11,569.50x = 619,795,256.10
5. Step 5: Solve for x
   x = 619,795,256.10/11,569.50
6. Step 6: Final answer
   x = 53,571.48