Finding the Third Proportional to 807.81 and 1,744.56

Step by Step Solution

1. Step 1: Write the proportion equation
   807.81 : 1,744.56 = 1,744.56 : x
2. Step 2: Convert to fraction form
   807.81/1,744.56 = 1,744.56/x
3. Step 3: Cross multiply
   807.81x = 1,744.56 × 1,744.56
4. Step 4: Simplify right side
   807.81x = 3,043,498.32
5. Step 5: Solve for x
   x = 3,043,498.32/807.81
6. Step 6: Final answer
   x = 3,767.58