Finding the Third Proportional to 10,822 and 22,468

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822 : 22,468 = 22,468 : x
2. Step 2: Convert to fraction form
   10,822/22,468 = 22,468/x
3. Step 3: Cross multiply
   10,822x = 22,468 × 22,468
4. Step 4: Simplify right side
   10,822x = 504,811,024
5. Step 5: Solve for x
   x = 504,811,024/10,822
6. Step 6: Final answer
   x = 46,646.74