Finding the Third Proportional to 33,678 and 73,180

Step by Step Solution

1. Step 1: Write the proportion equation
   33,678 : 73,180 = 73,180 : x
2. Step 2: Convert to fraction form
   33,678/73,180 = 73,180/x
3. Step 3: Cross multiply
   33,678x = 73,180 × 73,180
4. Step 4: Simplify right side
   33,678x = 5,355,312,400
5. Step 5: Solve for x
   x = 5,355,312,400/33,678
6. Step 6: Final answer
   x = 159,015.16