Finding the Third Proportional to 364.50 and 759.38

Step by Step Solution

1. Step 1: Write the proportion equation
   364.50 : 759.38 = 759.38 : x
2. Step 2: Convert to fraction form
   364.50/759.38 = 759.38/x
3. Step 3: Cross multiply
   364.50x = 759.38 × 759.38
4. Step 4: Simplify right side
   364.50x = 576,650.39
5. Step 5: Solve for x
   x = 576,650.39/364.50
6. Step 6: Final answer
   x = 1,582.03