Finding the Third Proportional to 6,843 and 12,198

Step by Step Solution

1. Step 1: Write the proportion equation
   6,843 : 12,198 = 12,198 : x
2. Step 2: Convert to fraction form
   6,843/12,198 = 12,198/x
3. Step 3: Cross multiply
   6,843x = 12,198 × 12,198
4. Step 4: Simplify right side
   6,843x = 148,791,204
5. Step 5: Solve for x
   x = 148,791,204/6,843
6. Step 6: Final answer
   x = 21,743.56