Finding the Third Proportional to 10,022 and 23,198

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022 : 23,198 = 23,198 : x
2. Step 2: Convert to fraction form
   10,022/23,198 = 23,198/x
3. Step 3: Cross multiply
   10,022x = 23,198 × 23,198
4. Step 4: Simplify right side
   10,022x = 538,147,204
5. Step 5: Solve for x
   x = 538,147,204/10,022
6. Step 6: Final answer
   x = 53,696.59