Finding the Third Proportional to 33,195 and 71,673

Step by Step Solution

1. Step 1: Write the proportion equation
   33,195 : 71,673 = 71,673 : x
2. Step 2: Convert to fraction form
   33,195/71,673 = 71,673/x
3. Step 3: Cross multiply
   33,195x = 71,673 × 71,673
4. Step 4: Simplify right side
   33,195x = 5,137,018,929
5. Step 5: Solve for x
   x = 5,137,018,929/33,195
6. Step 6: Final answer
   x = 154,752.79