Finding the Third Proportional to 2,757 and 6,510

Step by Step Solution

1. Step 1: Write the proportion equation
   2,757 : 6,510 = 6,510 : x
2. Step 2: Convert to fraction form
   2,757/6,510 = 6,510/x
3. Step 3: Cross multiply
   2,757x = 6,510 × 6,510
4. Step 4: Simplify right side
   2,757x = 42,380,100
5. Step 5: Solve for x
   x = 42,380,100/2,757
6. Step 6: Final answer
   x = 15,371.82