Finding the Third Proportional to 9,642 and 16,089

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642 : 16,089 = 16,089 : x
2. Step 2: Convert to fraction form
   9,642/16,089 = 16,089/x
3. Step 3: Cross multiply
   9,642x = 16,089 × 16,089
4. Step 4: Simplify right side
   9,642x = 258,855,921
5. Step 5: Solve for x
   x = 258,855,921/9,642
6. Step 6: Final answer
   x = 26,846.70