Finding the Third Proportional to 10,665 and 13,743

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 13,743 = 13,743 : x
2. Step 2: Convert to fraction form
   10,665/13,743 = 13,743/x
3. Step 3: Cross multiply
   10,665x = 13,743 × 13,743
4. Step 4: Simplify right side
   10,665x = 188,870,049
5. Step 5: Solve for x
   x = 188,870,049/10,665
6. Step 6: Final answer
   x = 17,709.33