Finding the Third Proportional to 414 and 1,003.75

Step by Step Solution

1. Step 1: Write the proportion equation
   414 : 1,003.75 = 1,003.75 : x
2. Step 2: Convert to fraction form
   414/1,003.75 = 1,003.75/x
3. Step 3: Cross multiply
   414x = 1,003.75 × 1,003.75
4. Step 4: Simplify right side
   414x = 1,007,514.06
5. Step 5: Solve for x
   x = 1,007,514.06/414
6. Step 6: Final answer
   x = 2,433.61