Finding the Third Proportional to 9,801 and 20,268

Step by Step Solution

1. Step 1: Write the proportion equation
   9,801 : 20,268 = 20,268 : x
2. Step 2: Convert to fraction form
   9,801/20,268 = 20,268/x
3. Step 3: Cross multiply
   9,801x = 20,268 × 20,268
4. Step 4: Simplify right side
   9,801x = 410,791,824
5. Step 5: Solve for x
   x = 410,791,824/9,801
6. Step 6: Final answer
   x = 41,913.26