Finding the Third Proportional to 2,564 and 5,606

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564 : 5,606 = 5,606 : x
2. Step 2: Convert to fraction form
   2,564/5,606 = 5,606/x
3. Step 3: Cross multiply
   2,564x = 5,606 × 5,606
4. Step 4: Simplify right side
   2,564x = 31,427,236
5. Step 5: Solve for x
   x = 31,427,236/2,564
6. Step 6: Final answer
   x = 12,257.11