Finding the Third Proportional to 37,707 and 82,885

Step by Step Solution

1. Step 1: Write the proportion equation
   37,707 : 82,885 = 82,885 : x
2. Step 2: Convert to fraction form
   37,707/82,885 = 82,885/x
3. Step 3: Cross multiply
   37,707x = 82,885 × 82,885
4. Step 4: Simplify right side
   37,707x = 6,869,923,225
5. Step 5: Solve for x
   x = 6,869,923,225/37,707
6. Step 6: Final answer
   x = 182,192.25