Finding the Third Proportional to 33,227 and 73,767

Step by Step Solution

1. Step 1: Write the proportion equation
   33,227 : 73,767 = 73,767 : x
2. Step 2: Convert to fraction form
   33,227/73,767 = 73,767/x
3. Step 3: Cross multiply
   33,227x = 73,767 × 73,767
4. Step 4: Simplify right side
   33,227x = 5,441,570,289
5. Step 5: Solve for x
   x = 5,441,570,289/33,227
6. Step 6: Final answer
   x = 163,769.53