Finding the Third Proportional to 33,006 and 71,116

Step by Step Solution

1. Step 1: Write the proportion equation
   33,006 : 71,116 = 71,116 : x
2. Step 2: Convert to fraction form
   33,006/71,116 = 71,116/x
3. Step 3: Cross multiply
   33,006x = 71,116 × 71,116
4. Step 4: Simplify right side
   33,006x = 5,057,485,456
5. Step 5: Solve for x
   x = 5,057,485,456/33,006
6. Step 6: Final answer
   x = 153,229.28