Finding the Third Proportional to 11,676.75 and 13,727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,676.75 : 13,727.25 = 13,727.25 : x
2. Step 2: Convert to fraction form
   11,676.75/13,727.25 = 13,727.25/x
3. Step 3: Cross multiply
   11,676.75x = 13,727.25 × 13,727.25
4. Step 4: Simplify right side
   11,676.75x = 188,437,392.56
5. Step 5: Solve for x
   x = 188,437,392.56/11,676.75
6. Step 6: Final answer
   x = 16,137.83