Finding the Third Proportional to 2,552 and 2,760

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552 : 2,760 = 2,760 : x
2. Step 2: Convert to fraction form
   2,552/2,760 = 2,760/x
3. Step 3: Cross multiply
   2,552x = 2,760 × 2,760
4. Step 4: Simplify right side
   2,552x = 7,617,600
5. Step 5: Solve for x
   x = 7,617,600/2,552
6. Step 6: Final answer
   x = 2,984.95