Finding the Third Proportional to 3,540 and 3,846

Step by Step Solution

1. Step 1: Write the proportion equation
   3,540 : 3,846 = 3,846 : x
2. Step 2: Convert to fraction form
   3,540/3,846 = 3,846/x
3. Step 3: Cross multiply
   3,540x = 3,846 × 3,846
4. Step 4: Simplify right side
   3,540x = 14,791,716
5. Step 5: Solve for x
   x = 14,791,716/3,540
6. Step 6: Final answer
   x = 4,178.45