Finding the Third Proportional to 5,660 and 12,496

Step by Step Solution

1. Step 1: Write the proportion equation
   5,660 : 12,496 = 12,496 : x
2. Step 2: Convert to fraction form
   5,660/12,496 = 12,496/x
3. Step 3: Cross multiply
   5,660x = 12,496 × 12,496
4. Step 4: Simplify right side
   5,660x = 156,150,016
5. Step 5: Solve for x
   x = 156,150,016/5,660
6. Step 6: Final answer
   x = 27,588.34