Finding the Third Proportional to 807.56 and 1,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   807.56 : 1,744.50 = 1,744.50 : x
2. Step 2: Convert to fraction form
   807.56/1,744.50 = 1,744.50/x
3. Step 3: Cross multiply
   807.56x = 1,744.50 × 1,744.50
4. Step 4: Simplify right side
   807.56x = 3,043,280.25
5. Step 5: Solve for x
   x = 3,043,280.25/807.56
6. Step 6: Final answer
   x = 3,768.48