Finding the Third Proportional to 2,686 and 5,863

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686 : 5,863 = 5,863 : x
2. Step 2: Convert to fraction form
   2,686/5,863 = 5,863/x
3. Step 3: Cross multiply
   2,686x = 5,863 × 5,863
4. Step 4: Simplify right side
   2,686x = 34,374,769
5. Step 5: Solve for x
   x = 34,374,769/2,686
6. Step 6: Final answer
   x = 12,797.75