Finding the Third Proportional to 11,544 and 24,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,544 : 24,728.50 = 24,728.50 : x
2. Step 2: Convert to fraction form
   11,544/24,728.50 = 24,728.50/x
3. Step 3: Cross multiply
   11,544x = 24,728.50 × 24,728.50
4. Step 4: Simplify right side
   11,544x = 611,498,712.25
5. Step 5: Solve for x
   x = 611,498,712.25/11,544
6. Step 6: Final answer
   x = 52,971.13