Finding the Third Proportional to 9,728 and 20,102

Step by Step Solution

1. Step 1: Write the proportion equation
   9,728 : 20,102 = 20,102 : x
2. Step 2: Convert to fraction form
   9,728/20,102 = 20,102/x
3. Step 3: Cross multiply
   9,728x = 20,102 × 20,102
4. Step 4: Simplify right side
   9,728x = 404,090,404
5. Step 5: Solve for x
   x = 404,090,404/9,728
6. Step 6: Final answer
   x = 41,538.90