Finding the Third Proportional to 33,204 and 50,670

Step by Step Solution

1. Step 1: Write the proportion equation
   33,204 : 50,670 = 50,670 : x
2. Step 2: Convert to fraction form
   33,204/50,670 = 50,670/x
3. Step 3: Cross multiply
   33,204x = 50,670 × 50,670
4. Step 4: Simplify right side
   33,204x = 2,567,448,900
5. Step 5: Solve for x
   x = 2,567,448,900/33,204
6. Step 6: Final answer
   x = 77,323.48