Finding the Third Proportional to 9,689 and 13,071

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689 : 13,071 = 13,071 : x
2. Step 2: Convert to fraction form
   9,689/13,071 = 13,071/x
3. Step 3: Cross multiply
   9,689x = 13,071 × 13,071
4. Step 4: Simplify right side
   9,689x = 170,851,041
5. Step 5: Solve for x
   x = 170,851,041/9,689
6. Step 6: Final answer
   x = 17,633.51