Finding the Third Proportional to 10,440 and 18,564

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440 : 18,564 = 18,564 : x
2. Step 2: Convert to fraction form
   10,440/18,564 = 18,564/x
3. Step 3: Cross multiply
   10,440x = 18,564 × 18,564
4. Step 4: Simplify right side
   10,440x = 344,622,096
5. Step 5: Solve for x
   x = 344,622,096/10,440
6. Step 6: Final answer
   x = 33,009.78