Finding the Third Proportional to 6,778 and 10,824

Step by Step Solution

1. Step 1: Write the proportion equation
   6,778 : 10,824 = 10,824 : x
2. Step 2: Convert to fraction form
   6,778/10,824 = 10,824/x
3. Step 3: Cross multiply
   6,778x = 10,824 × 10,824
4. Step 4: Simplify right side
   6,778x = 117,158,976
5. Step 5: Solve for x
   x = 117,158,976/6,778
6. Step 6: Final answer
   x = 17,285.18