Finding the Third Proportional to 735.89 and 793.55

Step by Step Solution

1. Step 1: Write the proportion equation
   735.89 : 793.55 = 793.55 : x
2. Step 2: Convert to fraction form
   735.89/793.55 = 793.55/x
3. Step 3: Cross multiply
   735.89x = 793.55 × 793.55
4. Step 4: Simplify right side
   735.89x = 629,716.64
5. Step 5: Solve for x
   x = 629,716.64/735.89
6. Step 6: Final answer
   x = 855.72