Finding the Third Proportional to 9,820 and 20,216

Step by Step Solution

1. Step 1: Write the proportion equation
   9,820 : 20,216 = 20,216 : x
2. Step 2: Convert to fraction form
   9,820/20,216 = 20,216/x
3. Step 3: Cross multiply
   9,820x = 20,216 × 20,216
4. Step 4: Simplify right side
   9,820x = 408,686,656
5. Step 5: Solve for x
   x = 408,686,656/9,820
6. Step 6: Final answer
   x = 41,617.79