Finding the Third Proportional to 11,564 and 12,644

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 12,644 = 12,644 : x
2. Step 2: Convert to fraction form
   11,564/12,644 = 12,644/x
3. Step 3: Cross multiply
   11,564x = 12,644 × 12,644
4. Step 4: Simplify right side
   11,564x = 159,870,736
5. Step 5: Solve for x
   x = 159,870,736/11,564
6. Step 6: Final answer
   x = 13,824.86