Finding the Third Proportional to 17,608 and 41,578

Step by Step Solution

1. Step 1: Write the proportion equation
   17,608 : 41,578 = 41,578 : x
2. Step 2: Convert to fraction form
   17,608/41,578 = 41,578/x
3. Step 3: Cross multiply
   17,608x = 41,578 × 41,578
4. Step 4: Simplify right side
   17,608x = 1,728,730,084
5. Step 5: Solve for x
   x = 1,728,730,084/17,608
6. Step 6: Final answer
   x = 98,178.67