Finding the Third Proportional to 17,744 and 25,960

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744 : 25,960 = 25,960 : x
2. Step 2: Convert to fraction form
   17,744/25,960 = 25,960/x
3. Step 3: Cross multiply
   17,744x = 25,960 × 25,960
4. Step 4: Simplify right side
   17,744x = 673,921,600
5. Step 5: Solve for x
   x = 673,921,600/17,744
6. Step 6: Final answer
   x = 37,980.25