Finding the Third Proportional to 17,744 and 41,864

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744 : 41,864 = 41,864 : x
2. Step 2: Convert to fraction form
   17,744/41,864 = 41,864/x
3. Step 3: Cross multiply
   17,744x = 41,864 × 41,864
4. Step 4: Simplify right side
   17,744x = 1,752,594,496
5. Step 5: Solve for x
   x = 1,752,594,496/17,744
6. Step 6: Final answer
   x = 98,771.11