Finding the Third Proportional to 6,744 and 9,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,744 : 9,076.50 = 9,076.50 : x
2. Step 2: Convert to fraction form
   6,744/9,076.50 = 9,076.50/x
3. Step 3: Cross multiply
   6,744x = 9,076.50 × 9,076.50
4. Step 4: Simplify right side
   6,744x = 82,382,852.25
5. Step 5: Solve for x
   x = 82,382,852.25/6,744
6. Step 6: Final answer
   x = 12,215.73