Finding the Third Proportional to 39,426 and 83,874

Step by Step Solution

1. Step 1: Write the proportion equation
   39,426 : 83,874 = 83,874 : x
2. Step 2: Convert to fraction form
   39,426/83,874 = 83,874/x
3. Step 3: Cross multiply
   39,426x = 83,874 × 83,874
4. Step 4: Simplify right side
   39,426x = 7,034,847,876
5. Step 5: Solve for x
   x = 7,034,847,876/39,426
6. Step 6: Final answer
   x = 178,431.69