Finding the Third Proportional to 796.82 and 1,753.21

Step by Step Solution

1. Step 1: Write the proportion equation
   796.82 : 1,753.21 = 1,753.21 : x
2. Step 2: Convert to fraction form
   796.82/1,753.21 = 1,753.21/x
3. Step 3: Cross multiply
   796.82x = 1,753.21 × 1,753.21
4. Step 4: Simplify right side
   796.82x = 3,073,734.89
5. Step 5: Solve for x
   x = 3,073,734.89/796.82
6. Step 6: Final answer
   x = 3,857.52