Finding the Third Proportional to 6,778 and 10,872

Step by Step Solution

1. Step 1: Write the proportion equation
   6,778 : 10,872 = 10,872 : x
2. Step 2: Convert to fraction form
   6,778/10,872 = 10,872/x
3. Step 3: Cross multiply
   6,778x = 10,872 × 10,872
4. Step 4: Simplify right side
   6,778x = 118,200,384
5. Step 5: Solve for x
   x = 118,200,384/6,778
6. Step 6: Final answer
   x = 17,438.83