Finding the Third Proportional to 20,128 and 31,105

Step by Step Solution

1. Step 1: Write the proportion equation
   20,128 : 31,105 = 31,105 : x
2. Step 2: Convert to fraction form
   20,128/31,105 = 31,105/x
3. Step 3: Cross multiply
   20,128x = 31,105 × 31,105
4. Step 4: Simplify right side
   20,128x = 967,521,025
5. Step 5: Solve for x
   x = 967,521,025/20,128
6. Step 6: Final answer
   x = 48,068.41