Finding the Third Proportional to 2,564 and 3,560

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564 : 3,560 = 3,560 : x
2. Step 2: Convert to fraction form
   2,564/3,560 = 3,560/x
3. Step 3: Cross multiply
   2,564x = 3,560 × 3,560
4. Step 4: Simplify right side
   2,564x = 12,673,600
5. Step 5: Solve for x
   x = 12,673,600/2,564
6. Step 6: Final answer
   x = 4,942.90