Finding the Third Proportional to 1,759.69 and 3,823.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,759.69 : 3,823.88 = 3,823.88 : x
2. Step 2: Convert to fraction form
   1,759.69/3,823.88 = 3,823.88/x
3. Step 3: Cross multiply
   1,759.69x = 3,823.88 × 3,823.88
4. Step 4: Simplify right side
   1,759.69x = 14,622,020.02
5. Step 5: Solve for x
   x = 14,622,020.02/1,759.69
6. Step 6: Final answer
   x = 8,309.44