Finding the Third Proportional to 31,800 and 41,828

Step by Step Solution

1. Step 1: Write the proportion equation
   31,800 : 41,828 = 41,828 : x
2. Step 2: Convert to fraction form
   31,800/41,828 = 41,828/x
3. Step 3: Cross multiply
   31,800x = 41,828 × 41,828
4. Step 4: Simplify right side
   31,800x = 1,749,581,584
5. Step 5: Solve for x
   x = 1,749,581,584/31,800
6. Step 6: Final answer
   x = 55,018.29