Finding the Third Proportional to 459.38 and 1,002

Step by Step Solution

1. Step 1: Write the proportion equation
   459.38 : 1,002 = 1,002 : x
2. Step 2: Convert to fraction form
   459.38/1,002 = 1,002/x
3. Step 3: Cross multiply
   459.38x = 1,002 × 1,002
4. Step 4: Simplify right side
   459.38x = 1,004,004
5. Step 5: Solve for x
   x = 1,004,004/459.38
6. Step 6: Final answer
   x = 2,185.59