Finding the Third Proportional to 3,782 and 3,782

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782 : 3,782 = 3,782 : x
2. Step 2: Convert to fraction form
   3,782/3,782 = 3,782/x
3. Step 3: Cross multiply
   3,782x = 3,782 × 3,782
4. Step 4: Simplify right side
   3,782x = 14,303,524
5. Step 5: Solve for x
   x = 14,303,524/3,782
6. Step 6: Final answer
   x = 3,782