Finding the Third Proportional to 21,744 and 32,568

Step by Step Solution

1. Step 1: Write the proportion equation
   21,744 : 32,568 = 32,568 : x
2. Step 2: Convert to fraction form
   21,744/32,568 = 32,568/x
3. Step 3: Cross multiply
   21,744x = 32,568 × 32,568
4. Step 4: Simplify right side
   21,744x = 1,060,674,624
5. Step 5: Solve for x
   x = 1,060,674,624/21,744
6. Step 6: Final answer
   x = 48,780.11