Finding the Third Proportional to 5,640 and 12,240

Step by Step Solution

1. Step 1: Write the proportion equation
   5,640 : 12,240 = 12,240 : x
2. Step 2: Convert to fraction form
   5,640/12,240 = 12,240/x
3. Step 3: Cross multiply
   5,640x = 12,240 × 12,240
4. Step 4: Simplify right side
   5,640x = 149,817,600
5. Step 5: Solve for x
   x = 149,817,600/5,640
6. Step 6: Final answer
   x = 26,563.40