Finding the Third Proportional to 33,648 and 73,189

Step by Step Solution

1. Step 1: Write the proportion equation
   33,648 : 73,189 = 73,189 : x
2. Step 2: Convert to fraction form
   33,648/73,189 = 73,189/x
3. Step 3: Cross multiply
   33,648x = 73,189 × 73,189
4. Step 4: Simplify right side
   33,648x = 5,356,629,721
5. Step 5: Solve for x
   x = 5,356,629,721/33,648
6. Step 6: Final answer
   x = 159,196.08