Finding the Third Proportional to 40,686 and 83,882

Step by Step Solution

1. Step 1: Write the proportion equation
   40,686 : 83,882 = 83,882 : x
2. Step 2: Convert to fraction form
   40,686/83,882 = 83,882/x
3. Step 3: Cross multiply
   40,686x = 83,882 × 83,882
4. Step 4: Simplify right side
   40,686x = 7,036,189,924
5. Step 5: Solve for x
   x = 7,036,189,924/40,686
6. Step 6: Final answer
   x = 172,938.85