Finding the Third Proportional to 6,509.25 and 12,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,509.25 : 12,694.50 = 12,694.50 : x
2. Step 2: Convert to fraction form
   6,509.25/12,694.50 = 12,694.50/x
3. Step 3: Cross multiply
   6,509.25x = 12,694.50 × 12,694.50
4. Step 4: Simplify right side
   6,509.25x = 161,150,330.25
5. Step 5: Solve for x
   x = 161,150,330.25/6,509.25
6. Step 6: Final answer
   x = 24,757.13