Finding the Third Proportional to 33,684 and 73,284

Step by Step Solution

1. Step 1: Write the proportion equation
   33,684 : 73,284 = 73,284 : x
2. Step 2: Convert to fraction form
   33,684/73,284 = 73,284/x
3. Step 3: Cross multiply
   33,684x = 73,284 × 73,284
4. Step 4: Simplify right side
   33,684x = 5,370,544,656
5. Step 5: Solve for x
   x = 5,370,544,656/33,684
6. Step 6: Final answer
   x = 159,439.04