Finding the Third Proportional to 33,319 and 71,578

Step by Step Solution

1. Step 1: Write the proportion equation
   33,319 : 71,578 = 71,578 : x
2. Step 2: Convert to fraction form
   33,319/71,578 = 71,578/x
3. Step 3: Cross multiply
   33,319x = 71,578 × 71,578
4. Step 4: Simplify right side
   33,319x = 5,123,410,084
5. Step 5: Solve for x
   x = 5,123,410,084/33,319
6. Step 6: Final answer
   x = 153,768.42