Finding the Third Proportional to 33,084 and 50,406

Step by Step Solution

1. Step 1: Write the proportion equation
   33,084 : 50,406 = 50,406 : x
2. Step 2: Convert to fraction form
   33,084/50,406 = 50,406/x
3. Step 3: Cross multiply
   33,084x = 50,406 × 50,406
4. Step 4: Simplify right side
   33,084x = 2,540,764,836
5. Step 5: Solve for x
   x = 2,540,764,836/33,084
6. Step 6: Final answer
   x = 76,797.39