Finding the Third Proportional to 6,182 and 12,874

Step by Step Solution

1. Step 1: Write the proportion equation
   6,182 : 12,874 = 12,874 : x
2. Step 2: Convert to fraction form
   6,182/12,874 = 12,874/x
3. Step 3: Cross multiply
   6,182x = 12,874 × 12,874
4. Step 4: Simplify right side
   6,182x = 165,739,876
5. Step 5: Solve for x
   x = 165,739,876/6,182
6. Step 6: Final answer
   x = 26,810.07