Finding the Third Proportional to 2,576 and 5,305

Step by Step Solution

1. Step 1: Write the proportion equation
   2,576 : 5,305 = 5,305 : x
2. Step 2: Convert to fraction form
   2,576/5,305 = 5,305/x
3. Step 3: Cross multiply
   2,576x = 5,305 × 5,305
4. Step 4: Simplify right side
   2,576x = 28,143,025
5. Step 5: Solve for x
   x = 28,143,025/2,576
6. Step 6: Final answer
   x = 10,925.09