Finding the Third Proportional to 364.69 and 800.25

Step by Step Solution

1. Step 1: Write the proportion equation
   364.69 : 800.25 = 800.25 : x
2. Step 2: Convert to fraction form
   364.69/800.25 = 800.25/x
3. Step 3: Cross multiply
   364.69x = 800.25 × 800.25
4. Step 4: Simplify right side
   364.69x = 640,400.06
5. Step 5: Solve for x
   x = 640,400.06/364.69
6. Step 6: Final answer
   x = 1,756.02