Finding the Third Proportional to 22,326 and 46,949

Step by Step Solution

1. Step 1: Write the proportion equation
   22,326 : 46,949 = 46,949 : x
2. Step 2: Convert to fraction form
   22,326/46,949 = 46,949/x
3. Step 3: Cross multiply
   22,326x = 46,949 × 46,949
4. Step 4: Simplify right side
   22,326x = 2,204,208,601
5. Step 5: Solve for x
   x = 2,204,208,601/22,326
6. Step 6: Final answer
   x = 98,728.33