Finding the Third Proportional to 1,759.57 and 3,823.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,759.57 : 3,823.36 = 3,823.36 : x
2. Step 2: Convert to fraction form
   1,759.57/3,823.36 = 3,823.36/x
3. Step 3: Cross multiply
   1,759.57x = 3,823.36 × 3,823.36
4. Step 4: Simplify right side
   1,759.57x = 14,618,076.91
5. Step 5: Solve for x
   x = 14,618,076.91/1,759.57
6. Step 6: Final answer
   x = 8,307.75