Finding the Third Proportional to 375.89 and 649.27

Step by Step Solution

1. Step 1: Write the proportion equation
   375.89 : 649.27 = 649.27 : x
2. Step 2: Convert to fraction form
   375.89/649.27 = 649.27/x
3. Step 3: Cross multiply
   375.89x = 649.27 × 649.27
4. Step 4: Simplify right side
   375.89x = 421,545.85
5. Step 5: Solve for x
   x = 421,545.85/375.89
6. Step 6: Final answer
   x = 1,121.46