Finding the Third Proportional to 11,544 and 25,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,544 : 25,285.50 = 25,285.50 : x
2. Step 2: Convert to fraction form
   11,544/25,285.50 = 25,285.50/x
3. Step 3: Cross multiply
   11,544x = 25,285.50 × 25,285.50
4. Step 4: Simplify right side
   11,544x = 639,356,510.25
5. Step 5: Solve for x
   x = 639,356,510.25/11,544
6. Step 6: Final answer
   x = 55,384.31