Finding the Third Proportional to 379.69 and 817.59

Step by Step Solution

1. Step 1: Write the proportion equation
   379.69 : 817.59 = 817.59 : x
2. Step 2: Convert to fraction form
   379.69/817.59 = 817.59/x
3. Step 3: Cross multiply
   379.69x = 817.59 × 817.59
4. Step 4: Simplify right side
   379.69x = 668,459.54
5. Step 5: Solve for x
   x = 668,459.54/379.69
6. Step 6: Final answer
   x = 1,760.55