Finding the Third Proportional to 40,684 and 83,874

Step by Step Solution

1. Step 1: Write the proportion equation
   40,684 : 83,874 = 83,874 : x
2. Step 2: Convert to fraction form
   40,684/83,874 = 83,874/x
3. Step 3: Cross multiply
   40,684x = 83,874 × 83,874
4. Step 4: Simplify right side
   40,684x = 7,034,847,876
5. Step 5: Solve for x
   x = 7,034,847,876/40,684
6. Step 6: Final answer
   x = 172,914.36