Finding the Third Proportional to 414.50 and 651.50

Step by Step Solution

1. Step 1: Write the proportion equation
   414.50 : 651.50 = 651.50 : x
2. Step 2: Convert to fraction form
   414.50/651.50 = 651.50/x
3. Step 3: Cross multiply
   414.50x = 651.50 × 651.50
4. Step 4: Simplify right side
   414.50x = 424,452.25
5. Step 5: Solve for x
   x = 424,452.25/414.50
6. Step 6: Final answer
   x = 1,024.01