Finding the Third Proportional to 5,760 and 12,562.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,760 : 12,562.88 = 12,562.88 : x
2. Step 2: Convert to fraction form
   5,760/12,562.88 = 12,562.88/x
3. Step 3: Cross multiply
   5,760x = 12,562.88 × 12,562.88
4. Step 4: Simplify right side
   5,760x = 157,825,828.27
5. Step 5: Solve for x
   x = 157,825,828.27/5,760
6. Step 6: Final answer
   x = 27,400.32