Finding the Third Proportional to 33,584 and 73,162

Step by Step Solution

1. Step 1: Write the proportion equation
   33,584 : 73,162 = 73,162 : x
2. Step 2: Convert to fraction form
   33,584/73,162 = 73,162/x
3. Step 3: Cross multiply
   33,584x = 73,162 × 73,162
4. Step 4: Simplify right side
   33,584x = 5,352,678,244
5. Step 5: Solve for x
   x = 5,352,678,244/33,584
6. Step 6: Final answer
   x = 159,381.80