Finding the Third Proportional to 377.63 and 796.31

Step by Step Solution

1. Step 1: Write the proportion equation
   377.63 : 796.31 = 796.31 : x
2. Step 2: Convert to fraction form
   377.63/796.31 = 796.31/x
3. Step 3: Cross multiply
   377.63x = 796.31 × 796.31
4. Step 4: Simplify right side
   377.63x = 634,113.60
5. Step 5: Solve for x
   x = 634,113.60/377.63
6. Step 6: Final answer
   x = 1,679.22