Finding the Third Proportional to 9,822 and 20,238

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822 : 20,238 = 20,238 : x
2. Step 2: Convert to fraction form
   9,822/20,238 = 20,238/x
3. Step 3: Cross multiply
   9,822x = 20,238 × 20,238
4. Step 4: Simplify right side
   9,822x = 409,576,644
5. Step 5: Solve for x
   x = 409,576,644/9,822
6. Step 6: Final answer
   x = 41,699.92