Finding the Third Proportional to 30,919.50 and 73,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,919.50 : 73,408.50 = 73,408.50 : x
2. Step 2: Convert to fraction form
   30,919.50/73,408.50 = 73,408.50/x
3. Step 3: Cross multiply
   30,919.50x = 73,408.50 × 73,408.50
4. Step 4: Simplify right side
   30,919.50x = 5,388,807,872.25
5. Step 5: Solve for x
   x = 5,388,807,872.25/30,919.50
6. Step 6: Final answer
   x = 174,285.09