Finding the Third Proportional to 3,960 and 5,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,960 : 5,722.50 = 5,722.50 : x
2. Step 2: Convert to fraction form
   3,960/5,722.50 = 5,722.50/x
3. Step 3: Cross multiply
   3,960x = 5,722.50 × 5,722.50
4. Step 4: Simplify right side
   3,960x = 32,747,006.25
5. Step 5: Solve for x
   x = 32,747,006.25/3,960
6. Step 6: Final answer
   x = 8,269.45