Finding the Third Proportional to 5,752.27 and 13,540.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,752.27 : 13,540.61 = 13,540.61 : x
2. Step 2: Convert to fraction form
   5,752.27/13,540.61 = 13,540.61/x
3. Step 3: Cross multiply
   5,752.27x = 13,540.61 × 13,540.61
4. Step 4: Simplify right side
   5,752.27x = 183,347,996.46
5. Step 5: Solve for x
   x = 183,347,996.46/5,752.27
6. Step 6: Final answer
   x = 31,874.05