Finding the Third Proportional to 2,022 and 3,788

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022 : 3,788 = 3,788 : x
2. Step 2: Convert to fraction form
   2,022/3,788 = 3,788/x
3. Step 3: Cross multiply
   2,022x = 3,788 × 3,788
4. Step 4: Simplify right side
   2,022x = 14,348,944
5. Step 5: Solve for x
   x = 14,348,944/2,022
6. Step 6: Final answer
   x = 7,096.41