Finding the Third Proportional to 2,446 and 2,710

Step by Step Solution

1. Step 1: Write the proportion equation
   2,446 : 2,710 = 2,710 : x
2. Step 2: Convert to fraction form
   2,446/2,710 = 2,710/x
3. Step 3: Cross multiply
   2,446x = 2,710 × 2,710
4. Step 4: Simplify right side
   2,446x = 7,344,100
5. Step 5: Solve for x
   x = 7,344,100/2,446
6. Step 6: Final answer
   x = 3,002.49