Finding the Third Proportional to 2,042 and 4,030

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042 : 4,030 = 4,030 : x
2. Step 2: Convert to fraction form
   2,042/4,030 = 4,030/x
3. Step 3: Cross multiply
   2,042x = 4,030 × 4,030
4. Step 4: Simplify right side
   2,042x = 16,240,900
5. Step 5: Solve for x
   x = 16,240,900/2,042
6. Step 6: Final answer
   x = 7,953.43