Finding the Third Proportional to 22,824 and 49,408

Step by Step Solution

1. Step 1: Write the proportion equation
   22,824 : 49,408 = 49,408 : x
2. Step 2: Convert to fraction form
   22,824/49,408 = 49,408/x
3. Step 3: Cross multiply
   22,824x = 49,408 × 49,408
4. Step 4: Simplify right side
   22,824x = 2,441,150,464
5. Step 5: Solve for x
   x = 2,441,150,464/22,824
6. Step 6: Final answer
   x = 106,955.42