Finding the Third Proportional to 33,544 and 71,084

Step by Step Solution

1. Step 1: Write the proportion equation
   33,544 : 71,084 = 71,084 : x
2. Step 2: Convert to fraction form
   33,544/71,084 = 71,084/x
3. Step 3: Cross multiply
   33,544x = 71,084 × 71,084
4. Step 4: Simplify right side
   33,544x = 5,052,935,056
5. Step 5: Solve for x
   x = 5,052,935,056/33,544
6. Step 6: Final answer
   x = 150,636.03