Finding the Third Proportional to 12,576 and 27,496

Step by Step Solution

1. Step 1: Write the proportion equation
   12,576 : 27,496 = 27,496 : x
2. Step 2: Convert to fraction form
   12,576/27,496 = 27,496/x
3. Step 3: Cross multiply
   12,576x = 27,496 × 27,496
4. Step 4: Simplify right side
   12,576x = 756,030,016
5. Step 5: Solve for x
   x = 756,030,016/12,576
6. Step 6: Final answer
   x = 60,116.89