Finding the Third Proportional to 36,811 and 57,105

Step by Step Solution

1. Step 1: Write the proportion equation
   36,811 : 57,105 = 57,105 : x
2. Step 2: Convert to fraction form
   36,811/57,105 = 57,105/x
3. Step 3: Cross multiply
   36,811x = 57,105 × 57,105
4. Step 4: Simplify right side
   36,811x = 3,260,981,025
5. Step 5: Solve for x
   x = 3,260,981,025/36,811
6. Step 6: Final answer
   x = 88,587.13