Finding the Third Proportional to 9,638 and 20,036

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638 : 20,036 = 20,036 : x
2. Step 2: Convert to fraction form
   9,638/20,036 = 20,036/x
3. Step 3: Cross multiply
   9,638x = 20,036 × 20,036
4. Step 4: Simplify right side
   9,638x = 401,441,296
5. Step 5: Solve for x
   x = 401,441,296/9,638
6. Step 6: Final answer
   x = 41,651.93