Finding the Third Proportional to 1,353.50 and 2,960.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.50 : 2,960.13 = 2,960.13 : x
2. Step 2: Convert to fraction form
   1,353.50/2,960.13 = 2,960.13/x
3. Step 3: Cross multiply
   1,353.50x = 2,960.13 × 2,960.13
4. Step 4: Simplify right side
   1,353.50x = 8,762,340.02
5. Step 5: Solve for x
   x = 8,762,340.02/1,353.50
6. Step 6: Final answer
   x = 6,473.84