Finding the Third Proportional to 6,777 and 13,743

Step by Step Solution

1. Step 1: Write the proportion equation
   6,777 : 13,743 = 13,743 : x
2. Step 2: Convert to fraction form
   6,777/13,743 = 13,743/x
3. Step 3: Cross multiply
   6,777x = 13,743 × 13,743
4. Step 4: Simplify right side
   6,777x = 188,870,049
5. Step 5: Solve for x
   x = 188,870,049/6,777
6. Step 6: Final answer
   x = 27,869.27