Finding the Third Proportional to 3,864 and 5,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,864 : 5,674.50 = 5,674.50 : x
2. Step 2: Convert to fraction form
   3,864/5,674.50 = 5,674.50/x
3. Step 3: Cross multiply
   3,864x = 5,674.50 × 5,674.50
4. Step 4: Simplify right side
   3,864x = 32,199,950.25
5. Step 5: Solve for x
   x = 32,199,950.25/3,864
6. Step 6: Final answer
   x = 8,333.32