Finding the Third Proportional to 9,589 and 20,822

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589 : 20,822 = 20,822 : x
2. Step 2: Convert to fraction form
   9,589/20,822 = 20,822/x
3. Step 3: Cross multiply
   9,589x = 20,822 × 20,822
4. Step 4: Simplify right side
   9,589x = 433,555,684
5. Step 5: Solve for x
   x = 433,555,684/9,589
6. Step 6: Final answer
   x = 45,213.86