Finding the Third Proportional to 9,538 and 20,165

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538 : 20,165 = 20,165 : x
2. Step 2: Convert to fraction form
   9,538/20,165 = 20,165/x
3. Step 3: Cross multiply
   9,538x = 20,165 × 20,165
4. Step 4: Simplify right side
   9,538x = 406,627,225
5. Step 5: Solve for x
   x = 406,627,225/9,538
6. Step 6: Final answer
   x = 42,632.34