Finding the Third Proportional to 6,766 and 13,868

Step by Step Solution

1. Step 1: Write the proportion equation
   6,766 : 13,868 = 13,868 : x
2. Step 2: Convert to fraction form
   6,766/13,868 = 13,868/x
3. Step 3: Cross multiply
   6,766x = 13,868 × 13,868
4. Step 4: Simplify right side
   6,766x = 192,321,424
5. Step 5: Solve for x
   x = 192,321,424/6,766
6. Step 6: Final answer
   x = 28,424.69