Finding the Third Proportional to 22,408 and 49,184

Step by Step Solution

1. Step 1: Write the proportion equation
   22,408 : 49,184 = 49,184 : x
2. Step 2: Convert to fraction form
   22,408/49,184 = 49,184/x
3. Step 3: Cross multiply
   22,408x = 49,184 × 49,184
4. Step 4: Simplify right side
   22,408x = 2,419,065,856
5. Step 5: Solve for x
   x = 2,419,065,856/22,408
6. Step 6: Final answer
   x = 107,955.46