Finding the Third Proportional to 49,919 and 73,413

Step by Step Solution

1. Step 1: Write the proportion equation
   49,919 : 73,413 = 73,413 : x
2. Step 2: Convert to fraction form
   49,919/73,413 = 73,413/x
3. Step 3: Cross multiply
   49,919x = 73,413 × 73,413
4. Step 4: Simplify right side
   49,919x = 5,389,468,569
5. Step 5: Solve for x
   x = 5,389,468,569/49,919
6. Step 6: Final answer
   x = 107,964.27