Finding the Third Proportional to 9,693 and 13,041

Step by Step Solution

1. Step 1: Write the proportion equation
   9,693 : 13,041 = 13,041 : x
2. Step 2: Convert to fraction form
   9,693/13,041 = 13,041/x
3. Step 3: Cross multiply
   9,693x = 13,041 × 13,041
4. Step 4: Simplify right side
   9,693x = 170,067,681
5. Step 5: Solve for x
   x = 170,067,681/9,693
6. Step 6: Final answer
   x = 17,545.41