Finding the Third Proportional to 465.75 and 1,002.38

Step by Step Solution

1. Step 1: Write the proportion equation
   465.75 : 1,002.38 = 1,002.38 : x
2. Step 2: Convert to fraction form
   465.75/1,002.38 = 1,002.38/x
3. Step 3: Cross multiply
   465.75x = 1,002.38 × 1,002.38
4. Step 4: Simplify right side
   465.75x = 1,004,755.64
5. Step 5: Solve for x
   x = 1,004,755.64/465.75
6. Step 6: Final answer
   x = 2,157.29