Finding the Third Proportional to 3,783 and 8,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,783 : 8,083.50 = 8,083.50 : x
2. Step 2: Convert to fraction form
   3,783/8,083.50 = 8,083.50/x
3. Step 3: Cross multiply
   3,783x = 8,083.50 × 8,083.50
4. Step 4: Simplify right side
   3,783x = 65,342,972.25
5. Step 5: Solve for x
   x = 65,342,972.25/3,783
6. Step 6: Final answer
   x = 17,272.79