Finding the Third Proportional to 37,801 and 82,874

Step by Step Solution

1. Step 1: Write the proportion equation
   37,801 : 82,874 = 82,874 : x
2. Step 2: Convert to fraction form
   37,801/82,874 = 82,874/x
3. Step 3: Cross multiply
   37,801x = 82,874 × 82,874
4. Step 4: Simplify right side
   37,801x = 6,868,099,876
5. Step 5: Solve for x
   x = 6,868,099,876/37,801
6. Step 6: Final answer
   x = 181,690.96