Finding the Third Proportional to 39,874 and 85,892

Step by Step Solution

1. Step 1: Write the proportion equation
   39,874 : 85,892 = 85,892 : x
2. Step 2: Convert to fraction form
   39,874/85,892 = 85,892/x
3. Step 3: Cross multiply
   39,874x = 85,892 × 85,892
4. Step 4: Simplify right side
   39,874x = 7,377,435,664
5. Step 5: Solve for x
   x = 7,377,435,664/39,874
6. Step 6: Final answer
   x = 185,018.70