Finding the Third Proportional to 33,747 and 73,320

Step by Step Solution

1. Step 1: Write the proportion equation
   33,747 : 73,320 = 73,320 : x
2. Step 2: Convert to fraction form
   33,747/73,320 = 73,320/x
3. Step 3: Cross multiply
   33,747x = 73,320 × 73,320
4. Step 4: Simplify right side
   33,747x = 5,375,822,400
5. Step 5: Solve for x
   x = 5,375,822,400/33,747
6. Step 6: Final answer
   x = 159,297.79