Finding the Third Proportional to 17,746 and 41,074

Step by Step Solution

1. Step 1: Write the proportion equation
   17,746 : 41,074 = 41,074 : x
2. Step 2: Convert to fraction form
   17,746/41,074 = 41,074/x
3. Step 3: Cross multiply
   17,746x = 41,074 × 41,074
4. Step 4: Simplify right side
   17,746x = 1,687,073,476
5. Step 5: Solve for x
   x = 1,687,073,476/17,746
6. Step 6: Final answer
   x = 95,067.82