Finding the Third Proportional to 39,982 and 86,016

Step by Step Solution

1. Step 1: Write the proportion equation
   39,982 : 86,016 = 86,016 : x
2. Step 2: Convert to fraction form
   39,982/86,016 = 86,016/x
3. Step 3: Cross multiply
   39,982x = 86,016 × 86,016
4. Step 4: Simplify right side
   39,982x = 7,398,752,256
5. Step 5: Solve for x
   x = 7,398,752,256/39,982
6. Step 6: Final answer
   x = 185,052.08