Finding the Third Proportional to 12,648 and 27,760

Step by Step Solution

1. Step 1: Write the proportion equation
   12,648 : 27,760 = 27,760 : x
2. Step 2: Convert to fraction form
   12,648/27,760 = 27,760/x
3. Step 3: Cross multiply
   12,648x = 27,760 × 27,760
4. Step 4: Simplify right side
   12,648x = 770,617,600
5. Step 5: Solve for x
   x = 770,617,600/12,648
6. Step 6: Final answer
   x = 60,928.02