Finding the Third Proportional to 2,456 and 5,682

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456 : 5,682 = 5,682 : x
2. Step 2: Convert to fraction form
   2,456/5,682 = 5,682/x
3. Step 3: Cross multiply
   2,456x = 5,682 × 5,682
4. Step 4: Simplify right side
   2,456x = 32,285,124
5. Step 5: Solve for x
   x = 32,285,124/2,456
6. Step 6: Final answer
   x = 13,145.41