Finding the Third Proportional to 3,876.75 and 8,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,876.75 : 8,233.50 = 8,233.50 : x
2. Step 2: Convert to fraction form
   3,876.75/8,233.50 = 8,233.50/x
3. Step 3: Cross multiply
   3,876.75x = 8,233.50 × 8,233.50
4. Step 4: Simplify right side
   3,876.75x = 67,790,522.25
5. Step 5: Solve for x
   x = 67,790,522.25/3,876.75
6. Step 6: Final answer
   x = 17,486.43