Finding the Third Proportional to 10,024 and 22,036

Step by Step Solution

1. Step 1: Write the proportion equation
   10,024 : 22,036 = 22,036 : x
2. Step 2: Convert to fraction form
   10,024/22,036 = 22,036/x
3. Step 3: Cross multiply
   10,024x = 22,036 × 22,036
4. Step 4: Simplify right side
   10,024x = 485,585,296
5. Step 5: Solve for x
   x = 485,585,296/10,024
6. Step 6: Final answer
   x = 48,442.27