Finding the Third Proportional to 33,771 and 50,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,771 : 50,674.50 = 50,674.50 : x
2. Step 2: Convert to fraction form
   33,771/50,674.50 = 50,674.50/x
3. Step 3: Cross multiply
   33,771x = 50,674.50 × 50,674.50
4. Step 4: Simplify right side
   33,771x = 2,567,904,950.25
5. Step 5: Solve for x
   x = 2,567,904,950.25/33,771
6. Step 6: Final answer
   x = 76,038.76