Finding the Third Proportional to 2,540 and 4,079.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540 : 4,079.50 = 4,079.50 : x
2. Step 2: Convert to fraction form
   2,540/4,079.50 = 4,079.50/x
3. Step 3: Cross multiply
   2,540x = 4,079.50 × 4,079.50
4. Step 4: Simplify right side
   2,540x = 16,642,320.25
5. Step 5: Solve for x
   x = 16,642,320.25/2,540
6. Step 6: Final answer
   x = 6,552.09