Finding the Third Proportional to 21,828 and 49,386

Step by Step Solution

1. Step 1: Write the proportion equation
   21,828 : 49,386 = 49,386 : x
2. Step 2: Convert to fraction form
   21,828/49,386 = 49,386/x
3. Step 3: Cross multiply
   21,828x = 49,386 × 49,386
4. Step 4: Simplify right side
   21,828x = 2,438,976,996
5. Step 5: Solve for x
   x = 2,438,976,996/21,828
6. Step 6: Final answer
   x = 111,736.16