Finding the Third Proportional to 17,744 and 38,105

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744 : 38,105 = 38,105 : x
2. Step 2: Convert to fraction form
   17,744/38,105 = 38,105/x
3. Step 3: Cross multiply
   17,744x = 38,105 × 38,105
4. Step 4: Simplify right side
   17,744x = 1,451,991,025
5. Step 5: Solve for x
   x = 1,451,991,025/17,744
6. Step 6: Final answer
   x = 81,829.97