Finding the Third Proportional to 9,830 and 20,571

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830 : 20,571 = 20,571 : x
2. Step 2: Convert to fraction form
   9,830/20,571 = 20,571/x
3. Step 3: Cross multiply
   9,830x = 20,571 × 20,571
4. Step 4: Simplify right side
   9,830x = 423,166,041
5. Step 5: Solve for x
   x = 423,166,041/9,830
6. Step 6: Final answer
   x = 43,048.43