Finding the Third Proportional to 2,686 and 5,836

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686 : 5,836 = 5,836 : x
2. Step 2: Convert to fraction form
   2,686/5,836 = 5,836/x
3. Step 3: Cross multiply
   2,686x = 5,836 × 5,836
4. Step 4: Simplify right side
   2,686x = 34,058,896
5. Step 5: Solve for x
   x = 34,058,896/2,686
6. Step 6: Final answer
   x = 12,680.15