Finding the Third Proportional to 2,596 and 3,682

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596 : 3,682 = 3,682 : x
2. Step 2: Convert to fraction form
   2,596/3,682 = 3,682/x
3. Step 3: Cross multiply
   2,596x = 3,682 × 3,682
4. Step 4: Simplify right side
   2,596x = 13,557,124
5. Step 5: Solve for x
   x = 13,557,124/2,596
6. Step 6: Final answer
   x = 5,222.31