Finding the Third Proportional to 33,198 and 71,678

Step by Step Solution

1. Step 1: Write the proportion equation
   33,198 : 71,678 = 71,678 : x
2. Step 2: Convert to fraction form
   33,198/71,678 = 71,678/x
3. Step 3: Cross multiply
   33,198x = 71,678 × 71,678
4. Step 4: Simplify right side
   33,198x = 5,137,735,684
5. Step 5: Solve for x
   x = 5,137,735,684/33,198
6. Step 6: Final answer
   x = 154,760.40