Finding the Third Proportional to 6,743.25 and 9,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,743.25 : 9,760.50 = 9,760.50 : x
2. Step 2: Convert to fraction form
   6,743.25/9,760.50 = 9,760.50/x
3. Step 3: Cross multiply
   6,743.25x = 9,760.50 × 9,760.50
4. Step 4: Simplify right side
   6,743.25x = 95,267,360.25
5. Step 5: Solve for x
   x = 95,267,360.25/6,743.25
6. Step 6: Final answer
   x = 14,127.81