Finding the Third Proportional to 33,223 and 50,005

Step by Step Solution

1. Step 1: Write the proportion equation
   33,223 : 50,005 = 50,005 : x
2. Step 2: Convert to fraction form
   33,223/50,005 = 50,005/x
3. Step 3: Cross multiply
   33,223x = 50,005 × 50,005
4. Step 4: Simplify right side
   33,223x = 2,500,500,025
5. Step 5: Solve for x
   x = 2,500,500,025/33,223
6. Step 6: Final answer
   x = 75,264.13