Finding the Third Proportional to 377.69 and 800.75

Step by Step Solution

1. Step 1: Write the proportion equation
   377.69 : 800.75 = 800.75 : x
2. Step 2: Convert to fraction form
   377.69/800.75 = 800.75/x
3. Step 3: Cross multiply
   377.69x = 800.75 × 800.75
4. Step 4: Simplify right side
   377.69x = 641,200.56
5. Step 5: Solve for x
   x = 641,200.56/377.69
6. Step 6: Final answer
   x = 1,697.70