Finding the Third Proportional to 9,600 and 19,744

Step by Step Solution

1. Step 1: Write the proportion equation
   9,600 : 19,744 = 19,744 : x
2. Step 2: Convert to fraction form
   9,600/19,744 = 19,744/x
3. Step 3: Cross multiply
   9,600x = 19,744 × 19,744
4. Step 4: Simplify right side
   9,600x = 389,825,536
5. Step 5: Solve for x
   x = 389,825,536/9,600
6. Step 6: Final answer
   x = 40,606.83