Finding the Third Proportional to 5,640 and 12,264

Step by Step Solution

1. Step 1: Write the proportion equation
   5,640 : 12,264 = 12,264 : x
2. Step 2: Convert to fraction form
   5,640/12,264 = 12,264/x
3. Step 3: Cross multiply
   5,640x = 12,264 × 12,264
4. Step 4: Simplify right side
   5,640x = 150,405,696
5. Step 5: Solve for x
   x = 150,405,696/5,640
6. Step 6: Final answer
   x = 26,667.68