Finding the Third Proportional to 3,320 and 5,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,320 : 5,141.50 = 5,141.50 : x
2. Step 2: Convert to fraction form
   3,320/5,141.50 = 5,141.50/x
3. Step 3: Cross multiply
   3,320x = 5,141.50 × 5,141.50
4. Step 4: Simplify right side
   3,320x = 26,435,022.25
5. Step 5: Solve for x
   x = 26,435,022.25/3,320
6. Step 6: Final answer
   x = 7,962.36