Finding the Third Proportional to 9,830 and 20,570

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830 : 20,570 = 20,570 : x
2. Step 2: Convert to fraction form
   9,830/20,570 = 20,570/x
3. Step 3: Cross multiply
   9,830x = 20,570 × 20,570
4. Step 4: Simplify right side
   9,830x = 423,124,900
5. Step 5: Solve for x
   x = 423,124,900/9,830
6. Step 6: Final answer
   x = 43,044.24