Finding the Third Proportional to 33,696 and 73,371

Step by Step Solution

1. Step 1: Write the proportion equation
   33,696 : 73,371 = 73,371 : x
2. Step 2: Convert to fraction form
   33,696/73,371 = 73,371/x
3. Step 3: Cross multiply
   33,696x = 73,371 × 73,371
4. Step 4: Simplify right side
   33,696x = 5,383,303,641
5. Step 5: Solve for x
   x = 5,383,303,641/33,696
6. Step 6: Final answer
   x = 159,760.91