Finding the Third Proportional to 9,582 and 20,568

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582 : 20,568 = 20,568 : x
2. Step 2: Convert to fraction form
   9,582/20,568 = 20,568/x
3. Step 3: Cross multiply
   9,582x = 20,568 × 20,568
4. Step 4: Simplify right side
   9,582x = 423,042,624
5. Step 5: Solve for x
   x = 423,042,624/9,582
6. Step 6: Final answer
   x = 44,149.72