Finding the Third Proportional to 5,732.25 and 12,544.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,732.25 : 12,544.50 = 12,544.50 : x
2. Step 2: Convert to fraction form
   5,732.25/12,544.50 = 12,544.50/x
3. Step 3: Cross multiply
   5,732.25x = 12,544.50 × 12,544.50
4. Step 4: Simplify right side
   5,732.25x = 157,364,480.25
5. Step 5: Solve for x
   x = 157,364,480.25/5,732.25
6. Step 6: Final answer
   x = 27,452.48