Finding the Third Proportional to 33,584 and 73,626

Step by Step Solution

1. Step 1: Write the proportion equation
   33,584 : 73,626 = 73,626 : x
2. Step 2: Convert to fraction form
   33,584/73,626 = 73,626/x
3. Step 3: Cross multiply
   33,584x = 73,626 × 73,626
4. Step 4: Simplify right side
   33,584x = 5,420,787,876
5. Step 5: Solve for x
   x = 5,420,787,876/33,584
6. Step 6: Final answer
   x = 161,409.83