Finding the Third Proportional to 9,838 and 20,504

Step by Step Solution

1. Step 1: Write the proportion equation
   9,838 : 20,504 = 20,504 : x
2. Step 2: Convert to fraction form
   9,838/20,504 = 20,504/x
3. Step 3: Cross multiply
   9,838x = 20,504 × 20,504
4. Step 4: Simplify right side
   9,838x = 420,414,016
5. Step 5: Solve for x
   x = 420,414,016/9,838
6. Step 6: Final answer
   x = 42,733.69