Finding the Third Proportional to 426 and 1,002

Step by Step Solution

1. Step 1: Write the proportion equation
   426 : 1,002 = 1,002 : x
2. Step 2: Convert to fraction form
   426/1,002 = 1,002/x
3. Step 3: Cross multiply
   426x = 1,002 × 1,002
4. Step 4: Simplify right side
   426x = 1,004,004
5. Step 5: Solve for x
   x = 1,004,004/426
6. Step 6: Final answer
   x = 2,356.82