Finding the Third Proportional to 11,682 and 13,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,682 : 13,747.50 = 13,747.50 : x
2. Step 2: Convert to fraction form
   11,682/13,747.50 = 13,747.50/x
3. Step 3: Cross multiply
   11,682x = 13,747.50 × 13,747.50
4. Step 4: Simplify right side
   11,682x = 188,993,756.25
5. Step 5: Solve for x
   x = 188,993,756.25/11,682
6. Step 6: Final answer
   x = 16,178.20