Finding the Third Proportional to 6,849 and 12,726

Step by Step Solution

1. Step 1: Write the proportion equation
   6,849 : 12,726 = 12,726 : x
2. Step 2: Convert to fraction form
   6,849/12,726 = 12,726/x
3. Step 3: Cross multiply
   6,849x = 12,726 × 12,726
4. Step 4: Simplify right side
   6,849x = 161,951,076
5. Step 5: Solve for x
   x = 161,951,076/6,849
6. Step 6: Final answer
   x = 23,645.94