Finding the Third Proportional to 9,747 and 13,743

Step by Step Solution

1. Step 1: Write the proportion equation
   9,747 : 13,743 = 13,743 : x
2. Step 2: Convert to fraction form
   9,747/13,743 = 13,743/x
3. Step 3: Cross multiply
   9,747x = 13,743 × 13,743
4. Step 4: Simplify right side
   9,747x = 188,870,049
5. Step 5: Solve for x
   x = 188,870,049/9,747
6. Step 6: Final answer
   x = 19,377.25