Finding the Third Proportional to 33,612 and 73,920

Step by Step Solution

1. Step 1: Write the proportion equation
   33,612 : 73,920 = 73,920 : x
2. Step 2: Convert to fraction form
   33,612/73,920 = 73,920/x
3. Step 3: Cross multiply
   33,612x = 73,920 × 73,920
4. Step 4: Simplify right side
   33,612x = 5,464,166,400
5. Step 5: Solve for x
   x = 5,464,166,400/33,612
6. Step 6: Final answer
   x = 162,565.94