Finding the Third Proportional to 382.88 and 814.69

Step by Step Solution

1. Step 1: Write the proportion equation
   382.88 : 814.69 = 814.69 : x
2. Step 2: Convert to fraction form
   382.88/814.69 = 814.69/x
3. Step 3: Cross multiply
   382.88x = 814.69 × 814.69
4. Step 4: Simplify right side
   382.88x = 663,715.72
5. Step 5: Solve for x
   x = 663,715.72/382.88
6. Step 6: Final answer
   x = 1,733.50