Finding the Third Proportional to 3,914 and 5,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,914 : 5,766.50 = 5,766.50 : x
2. Step 2: Convert to fraction form
   3,914/5,766.50 = 5,766.50/x
3. Step 3: Cross multiply
   3,914x = 5,766.50 × 5,766.50
4. Step 4: Simplify right side
   3,914x = 33,252,522.25
5. Step 5: Solve for x
   x = 33,252,522.25/3,914
6. Step 6: Final answer
   x = 8,495.79