Finding the Third Proportional to 809.89 and 1,747.62

Step by Step Solution

1. Step 1: Write the proportion equation
   809.89 : 1,747.62 = 1,747.62 : x
2. Step 2: Convert to fraction form
   809.89/1,747.62 = 1,747.62/x
3. Step 3: Cross multiply
   809.89x = 1,747.62 × 1,747.62
4. Step 4: Simplify right side
   809.89x = 3,054,165.83
5. Step 5: Solve for x
   x = 3,054,165.83/809.89
6. Step 6: Final answer
   x = 3,771.07