Finding the Third Proportional to 960 and 2,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   960 : 2,293.50 = 2,293.50 : x
2. Step 2: Convert to fraction form
   960/2,293.50 = 2,293.50/x
3. Step 3: Cross multiply
   960x = 2,293.50 × 2,293.50
4. Step 4: Simplify right side
   960x = 5,260,142.25
5. Step 5: Solve for x
   x = 5,260,142.25/960
6. Step 6: Final answer
   x = 5,479.31