Finding the Third Proportional to 3,779.25 and 8,208.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,779.25 : 8,208.75 = 8,208.75 : x
2. Step 2: Convert to fraction form
   3,779.25/8,208.75 = 8,208.75/x
3. Step 3: Cross multiply
   3,779.25x = 8,208.75 × 8,208.75
4. Step 4: Simplify right side
   3,779.25x = 67,383,576.56
5. Step 5: Solve for x
   x = 67,383,576.56/3,779.25
6. Step 6: Final answer
   x = 17,829.88