Finding the Third Proportional to 2,686 and 5,948

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686 : 5,948 = 5,948 : x
2. Step 2: Convert to fraction form
   2,686/5,948 = 5,948/x
3. Step 3: Cross multiply
   2,686x = 5,948 × 5,948
4. Step 4: Simplify right side
   2,686x = 35,378,704
5. Step 5: Solve for x
   x = 35,378,704/2,686
6. Step 6: Final answer
   x = 13,171.52