Finding the Third Proportional to 382.69 and 833.69

Step by Step Solution

1. Step 1: Write the proportion equation
   382.69 : 833.69 = 833.69 : x
2. Step 2: Convert to fraction form
   382.69/833.69 = 833.69/x
3. Step 3: Cross multiply
   382.69x = 833.69 × 833.69
4. Step 4: Simplify right side
   382.69x = 695,034.85
5. Step 5: Solve for x
   x = 695,034.85/382.69
6. Step 6: Final answer
   x = 1,816.19