Finding the Third Proportional to 2,842 and 3,740

Step by Step Solution

1. Step 1: Write the proportion equation
   2,842 : 3,740 = 3,740 : x
2. Step 2: Convert to fraction form
   2,842/3,740 = 3,740/x
3. Step 3: Cross multiply
   2,842x = 3,740 × 3,740
4. Step 4: Simplify right side
   2,842x = 13,987,600
5. Step 5: Solve for x
   x = 13,987,600/2,842
6. Step 6: Final answer
   x = 4,921.75