Finding the Third Proportional to 31,849 and 68,162

Step by Step Solution

1. Step 1: Write the proportion equation
   31,849 : 68,162 = 68,162 : x
2. Step 2: Convert to fraction form
   31,849/68,162 = 68,162/x
3. Step 3: Cross multiply
   31,849x = 68,162 × 68,162
4. Step 4: Simplify right side
   31,849x = 4,646,058,244
5. Step 5: Solve for x
   x = 4,646,058,244/31,849
6. Step 6: Final answer
   x = 145,877.68