Finding the Third Proportional to 22,824 and 50,022

Step by Step Solution

1. Step 1: Write the proportion equation
   22,824 : 50,022 = 50,022 : x
2. Step 2: Convert to fraction form
   22,824/50,022 = 50,022/x
3. Step 3: Cross multiply
   22,824x = 50,022 × 50,022
4. Step 4: Simplify right side
   22,824x = 2,502,200,484
5. Step 5: Solve for x
   x = 2,502,200,484/22,824
6. Step 6: Final answer
   x = 109,630.24