Finding the Third Proportional to 6,856 and 13,874

Step by Step Solution

1. Step 1: Write the proportion equation
   6,856 : 13,874 = 13,874 : x
2. Step 2: Convert to fraction form
   6,856/13,874 = 13,874/x
3. Step 3: Cross multiply
   6,856x = 13,874 × 13,874
4. Step 4: Simplify right side
   6,856x = 192,487,876
5. Step 5: Solve for x
   x = 192,487,876/6,856
6. Step 6: Final answer
   x = 28,075.83