Finding the Third Proportional to 31,802 and 41,831

Step by Step Solution

1. Step 1: Write the proportion equation
   31,802 : 41,831 = 41,831 : x
2. Step 2: Convert to fraction form
   31,802/41,831 = 41,831/x
3. Step 3: Cross multiply
   31,802x = 41,831 × 41,831
4. Step 4: Simplify right side
   31,802x = 1,749,832,561
5. Step 5: Solve for x
   x = 1,749,832,561/31,802
6. Step 6: Final answer
   x = 55,022.72