Finding the Third Proportional to 6,585.75 and 12,562.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,585.75 : 12,562.88 = 12,562.88 : x
2. Step 2: Convert to fraction form
   6,585.75/12,562.88 = 12,562.88/x
3. Step 3: Cross multiply
   6,585.75x = 12,562.88 × 12,562.88
4. Step 4: Simplify right side
   6,585.75x = 157,825,828.27
5. Step 5: Solve for x
   x = 157,825,828.27/6,585.75
6. Step 6: Final answer
   x = 23,964.75