Finding the Third Proportional to 10,721 and 16,568

Step by Step Solution

1. Step 1: Write the proportion equation
   10,721 : 16,568 = 16,568 : x
2. Step 2: Convert to fraction form
   10,721/16,568 = 16,568/x
3. Step 3: Cross multiply
   10,721x = 16,568 × 16,568
4. Step 4: Simplify right side
   10,721x = 274,498,624
5. Step 5: Solve for x
   x = 274,498,624/10,721
6. Step 6: Final answer
   x = 25,603.83