Finding the Third Proportional to 7,744 and 17,960

Step by Step Solution

1. Step 1: Write the proportion equation
   7,744 : 17,960 = 17,960 : x
2. Step 2: Convert to fraction form
   7,744/17,960 = 17,960/x
3. Step 3: Cross multiply
   7,744x = 17,960 × 17,960
4. Step 4: Simplify right side
   7,744x = 322,561,600
5. Step 5: Solve for x
   x = 322,561,600/7,744
6. Step 6: Final answer
   x = 41,653.10