Finding the Third Proportional to 12,078 and 13,698

Step by Step Solution

1. Step 1: Write the proportion equation
   12,078 : 13,698 = 13,698 : x
2. Step 2: Convert to fraction form
   12,078/13,698 = 13,698/x
3. Step 3: Cross multiply
   12,078x = 13,698 × 13,698
4. Step 4: Simplify right side
   12,078x = 187,635,204
5. Step 5: Solve for x
   x = 187,635,204/12,078
6. Step 6: Final answer
   x = 15,535.29