Finding the Third Proportional to 10,665 and 13,041

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 13,041 = 13,041 : x
2. Step 2: Convert to fraction form
   10,665/13,041 = 13,041/x
3. Step 3: Cross multiply
   10,665x = 13,041 × 13,041
4. Step 4: Simplify right side
   10,665x = 170,067,681
5. Step 5: Solve for x
   x = 170,067,681/10,665
6. Step 6: Final answer
   x = 15,946.34