Finding the Third Proportional to 2,560.50 and 5,185.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.50 : 5,185.13 = 5,185.13 : x
2. Step 2: Convert to fraction form
   2,560.50/5,185.13 = 5,185.13/x
3. Step 3: Cross multiply
   2,560.50x = 5,185.13 × 5,185.13
4. Step 4: Simplify right side
   2,560.50x = 26,885,521.27
5. Step 5: Solve for x
   x = 26,885,521.27/2,560.50
6. Step 6: Final answer
   x = 10,500.11