Finding the Third Proportional to 33,072 and 71,736

Step by Step Solution

1. Step 1: Write the proportion equation
   33,072 : 71,736 = 71,736 : x
2. Step 2: Convert to fraction form
   33,072/71,736 = 71,736/x
3. Step 3: Cross multiply
   33,072x = 71,736 × 71,736
4. Step 4: Simplify right side
   33,072x = 5,146,053,696
5. Step 5: Solve for x
   x = 5,146,053,696/33,072
6. Step 6: Final answer
   x = 155,601.53