Finding the Third Proportional to 406.69 and 959.77

Step by Step Solution

1. Step 1: Write the proportion equation
   406.69 : 959.77 = 959.77 : x
2. Step 2: Convert to fraction form
   406.69/959.77 = 959.77/x
3. Step 3: Cross multiply
   406.69x = 959.77 × 959.77
4. Step 4: Simplify right side
   406.69x = 921,150.05
5. Step 5: Solve for x
   x = 921,150.05/406.69
6. Step 6: Final answer
   x = 2,265.01