Finding the Third Proportional to 2,456 and 3,676

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456 : 3,676 = 3,676 : x
2. Step 2: Convert to fraction form
   2,456/3,676 = 3,676/x
3. Step 3: Cross multiply
   2,456x = 3,676 × 3,676
4. Step 4: Simplify right side
   2,456x = 13,512,976
5. Step 5: Solve for x
   x = 13,512,976/2,456
6. Step 6: Final answer
   x = 5,502.03