Finding the Third Proportional to 33,009 and 72,039

Step by Step Solution

1. Step 1: Write the proportion equation
   33,009 : 72,039 = 72,039 : x
2. Step 2: Convert to fraction form
   33,009/72,039 = 72,039/x
3. Step 3: Cross multiply
   33,009x = 72,039 × 72,039
4. Step 4: Simplify right side
   33,009x = 5,189,617,521
5. Step 5: Solve for x
   x = 5,189,617,521/33,009
6. Step 6: Final answer
   x = 157,218.26