Finding the Third Proportional to 26,820 and 57,105

Step by Step Solution

1. Step 1: Write the proportion equation
   26,820 : 57,105 = 57,105 : x
2. Step 2: Convert to fraction form
   26,820/57,105 = 57,105/x
3. Step 3: Cross multiply
   26,820x = 57,105 × 57,105
4. Step 4: Simplify right side
   26,820x = 3,260,981,025
5. Step 5: Solve for x
   x = 3,260,981,025/26,820
6. Step 6: Final answer
   x = 121,587.66