Finding the Third Proportional to 31,166 and 68,374

Step by Step Solution

1. Step 1: Write the proportion equation
   31,166 : 68,374 = 68,374 : x
2. Step 2: Convert to fraction form
   31,166/68,374 = 68,374/x
3. Step 3: Cross multiply
   31,166x = 68,374 × 68,374
4. Step 4: Simplify right side
   31,166x = 4,675,003,876
5. Step 5: Solve for x
   x = 4,675,003,876/31,166
6. Step 6: Final answer
   x = 150,003.33