Finding the Third Proportional to 10,225 and 20,825

Step by Step Solution

1. Step 1: Write the proportion equation
   10,225 : 20,825 = 20,825 : x
2. Step 2: Convert to fraction form
   10,225/20,825 = 20,825/x
3. Step 3: Cross multiply
   10,225x = 20,825 × 20,825
4. Step 4: Simplify right side
   10,225x = 433,680,625
5. Step 5: Solve for x
   x = 433,680,625/10,225
6. Step 6: Final answer
   x = 42,413.75