Finding the Third Proportional to 3,874 and 9,142

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874 : 9,142 = 9,142 : x
2. Step 2: Convert to fraction form
   3,874/9,142 = 9,142/x
3. Step 3: Cross multiply
   3,874x = 9,142 × 9,142
4. Step 4: Simplify right side
   3,874x = 83,576,164
5. Step 5: Solve for x
   x = 83,576,164/3,874
6. Step 6: Final answer
   x = 21,573.61