Finding the Third Proportional to 6,338 and 12,919

Step by Step Solution

1. Step 1: Write the proportion equation
   6,338 : 12,919 = 12,919 : x
2. Step 2: Convert to fraction form
   6,338/12,919 = 12,919/x
3. Step 3: Cross multiply
   6,338x = 12,919 × 12,919
4. Step 4: Simplify right side
   6,338x = 166,900,561
5. Step 5: Solve for x
   x = 166,900,561/6,338
6. Step 6: Final answer
   x = 26,333.32