Finding the Third Proportional to 33,993 and 73,456

Step by Step Solution

1. Step 1: Write the proportion equation
   33,993 : 73,456 = 73,456 : x
2. Step 2: Convert to fraction form
   33,993/73,456 = 73,456/x
3. Step 3: Cross multiply
   33,993x = 73,456 × 73,456
4. Step 4: Simplify right side
   33,993x = 5,395,783,936
5. Step 5: Solve for x
   x = 5,395,783,936/33,993
6. Step 6: Final answer
   x = 158,732.21