Finding the Third Proportional to 31,944 and 67,199

Step by Step Solution

1. Step 1: Write the proportion equation
   31,944 : 67,199 = 67,199 : x
2. Step 2: Convert to fraction form
   31,944/67,199 = 67,199/x
3. Step 3: Cross multiply
   31,944x = 67,199 × 67,199
4. Step 4: Simplify right side
   31,944x = 4,515,705,601
5. Step 5: Solve for x
   x = 4,515,705,601/31,944
6. Step 6: Final answer
   x = 141,363.19