Finding the Third Proportional to 31,944 and 67,198

Step by Step Solution

1. Step 1: Write the proportion equation
   31,944 : 67,198 = 67,198 : x
2. Step 2: Convert to fraction form
   31,944/67,198 = 67,198/x
3. Step 3: Cross multiply
   31,944x = 67,198 × 67,198
4. Step 4: Simplify right side
   31,944x = 4,515,571,204
5. Step 5: Solve for x
   x = 4,515,571,204/31,944
6. Step 6: Final answer
   x = 141,358.98