Finding the Third Proportional to 10,222.69 and 20,821.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,222.69 : 20,821.27 = 20,821.27 : x
2. Step 2: Convert to fraction form
   10,222.69/20,821.27 = 20,821.27/x
3. Step 3: Cross multiply
   10,222.69x = 20,821.27 × 20,821.27
4. Step 4: Simplify right side
   10,222.69x = 433,525,102.23
5. Step 5: Solve for x
   x = 433,525,102.23/10,222.69
6. Step 6: Final answer
   x = 42,408.13