Finding the Third Proportional to 2,582 and 5,496

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582 : 5,496 = 5,496 : x
2. Step 2: Convert to fraction form
   2,582/5,496 = 5,496/x
3. Step 3: Cross multiply
   2,582x = 5,496 × 5,496
4. Step 4: Simplify right side
   2,582x = 30,206,016
5. Step 5: Solve for x
   x = 30,206,016/2,582
6. Step 6: Final answer
   x = 11,698.69