Finding the Third Proportional to 9,538 and 20,804

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538 : 20,804 = 20,804 : x
2. Step 2: Convert to fraction form
   9,538/20,804 = 20,804/x
3. Step 3: Cross multiply
   9,538x = 20,804 × 20,804
4. Step 4: Simplify right side
   9,538x = 432,806,416
5. Step 5: Solve for x
   x = 432,806,416/9,538
6. Step 6: Final answer
   x = 45,377.06