Finding the Third Proportional to 806.44 and 1,759.69

Step by Step Solution

1. Step 1: Write the proportion equation
   806.44 : 1,759.69 = 1,759.69 : x
2. Step 2: Convert to fraction form
   806.44/1,759.69 = 1,759.69/x
3. Step 3: Cross multiply
   806.44x = 1,759.69 × 1,759.69
4. Step 4: Simplify right side
   806.44x = 3,096,500.10
5. Step 5: Solve for x
   x = 3,096,500.10/806.44
6. Step 6: Final answer
   x = 3,839.73