Finding the Third Proportional to 33,024 and 50,772

Step by Step Solution

1. Step 1: Write the proportion equation
   33,024 : 50,772 = 50,772 : x
2. Step 2: Convert to fraction form
   33,024/50,772 = 50,772/x
3. Step 3: Cross multiply
   33,024x = 50,772 × 50,772
4. Step 4: Simplify right side
   33,024x = 2,577,795,984
5. Step 5: Solve for x
   x = 2,577,795,984/33,024
6. Step 6: Final answer
   x = 78,058.26