Finding the Third Proportional to 3,782 and 4,142

Step by Step Solution

1. Step 1: Write the proportion equation
   3,782 : 4,142 = 4,142 : x
2. Step 2: Convert to fraction form
   3,782/4,142 = 4,142/x
3. Step 3: Cross multiply
   3,782x = 4,142 × 4,142
4. Step 4: Simplify right side
   3,782x = 17,156,164
5. Step 5: Solve for x
   x = 17,156,164/3,782
6. Step 6: Final answer
   x = 4,536.27