Finding the Third Proportional to 661.83 and 1,414.78

Step by Step Solution

1. Step 1: Write the proportion equation
   661.83 : 1,414.78 = 1,414.78 : x
2. Step 2: Convert to fraction form
   661.83/1,414.78 = 1,414.78/x
3. Step 3: Cross multiply
   661.83x = 1,414.78 × 1,414.78
4. Step 4: Simplify right side
   661.83x = 2,001,605.99
5. Step 5: Solve for x
   x = 2,001,605.99/661.83
6. Step 6: Final answer
   x = 3,024.36