Finding the Third Proportional to 475.50 and 796.75

Step by Step Solution

1. Step 1: Write the proportion equation
   475.50 : 796.75 = 796.75 : x
2. Step 2: Convert to fraction form
   475.50/796.75 = 796.75/x
3. Step 3: Cross multiply
   475.50x = 796.75 × 796.75
4. Step 4: Simplify right side
   475.50x = 634,810.56
5. Step 5: Solve for x
   x = 634,810.56/475.50
6. Step 6: Final answer
   x = 1,335.04