Finding the Third Proportional to 2,582 and 3,504

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582 : 3,504 = 3,504 : x
2. Step 2: Convert to fraction form
   2,582/3,504 = 3,504/x
3. Step 3: Cross multiply
   2,582x = 3,504 × 3,504
4. Step 4: Simplify right side
   2,582x = 12,278,016
5. Step 5: Solve for x
   x = 12,278,016/2,582
6. Step 6: Final answer
   x = 4,755.23