Finding the Third Proportional to 6,780 and 12,744

Step by Step Solution

1. Step 1: Write the proportion equation
   6,780 : 12,744 = 12,744 : x
2. Step 2: Convert to fraction form
   6,780/12,744 = 12,744/x
3. Step 3: Cross multiply
   6,780x = 12,744 × 12,744
4. Step 4: Simplify right side
   6,780x = 162,409,536
5. Step 5: Solve for x
   x = 162,409,536/6,780
6. Step 6: Final answer
   x = 23,954.21