Finding the Third Proportional to 2,313.56 and 3,560.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,313.56 : 3,560.20 = 3,560.20 : x
2. Step 2: Convert to fraction form
   2,313.56/3,560.20 = 3,560.20/x
3. Step 3: Cross multiply
   2,313.56x = 3,560.20 × 3,560.20
4. Step 4: Simplify right side
   2,313.56x = 12,675,046.29
5. Step 5: Solve for x
   x = 12,675,046.29/2,313.56
6. Step 6: Final answer
   x = 5,478.58