Finding the Third Proportional to 10,250 and 16,089

Step by Step Solution

1. Step 1: Write the proportion equation
   10,250 : 16,089 = 16,089 : x
2. Step 2: Convert to fraction form
   10,250/16,089 = 16,089/x
3. Step 3: Cross multiply
   10,250x = 16,089 × 16,089
4. Step 4: Simplify right side
   10,250x = 258,855,921
5. Step 5: Solve for x
   x = 258,855,921/10,250
6. Step 6: Final answer
   x = 25,254.24