Finding the Third Proportional to 379.05 and 816.33

Step by Step Solution

1. Step 1: Write the proportion equation
   379.05 : 816.33 = 816.33 : x
2. Step 2: Convert to fraction form
   379.05/816.33 = 816.33/x
3. Step 3: Cross multiply
   379.05x = 816.33 × 816.33
4. Step 4: Simplify right side
   379.05x = 666,391.61
5. Step 5: Solve for x
   x = 666,391.61/379.05
6. Step 6: Final answer
   x = 1,758.04