Finding the Third Proportional to 41,794 and 58,578

Step by Step Solution

1. Step 1: Write the proportion equation
   41,794 : 58,578 = 58,578 : x
2. Step 2: Convert to fraction form
   41,794/58,578 = 58,578/x
3. Step 3: Cross multiply
   41,794x = 58,578 × 58,578
4. Step 4: Simplify right side
   41,794x = 3,431,382,084
5. Step 5: Solve for x
   x = 3,431,382,084/41,794
6. Step 6: Final answer
   x = 82,102.27