Finding the Third Proportional to 33,589 and 73,802

Step by Step Solution

1. Step 1: Write the proportion equation
   33,589 : 73,802 = 73,802 : x
2. Step 2: Convert to fraction form
   33,589/73,802 = 73,802/x
3. Step 3: Cross multiply
   33,589x = 73,802 × 73,802
4. Step 4: Simplify right side
   33,589x = 5,446,735,204
5. Step 5: Solve for x
   x = 5,446,735,204/33,589
6. Step 6: Final answer
   x = 162,158.30