Finding the Third Proportional to 1,168.70 and 1,796.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,168.70 : 1,796.27 = 1,796.27 : x
2. Step 2: Convert to fraction form
   1,168.70/1,796.27 = 1,796.27/x
3. Step 3: Cross multiply
   1,168.70x = 1,796.27 × 1,796.27
4. Step 4: Simplify right side
   1,168.70x = 3,226,598.26
5. Step 5: Solve for x
   x = 3,226,598.26/1,168.70
6. Step 6: Final answer
   x = 2,760.85