Finding the Third Proportional to 12,662 and 27,698

Step by Step Solution

1. Step 1: Write the proportion equation
   12,662 : 27,698 = 27,698 : x
2. Step 2: Convert to fraction form
   12,662/27,698 = 27,698/x
3. Step 3: Cross multiply
   12,662x = 27,698 × 27,698
4. Step 4: Simplify right side
   12,662x = 767,179,204
5. Step 5: Solve for x
   x = 767,179,204/12,662
6. Step 6: Final answer
   x = 60,589.10