Finding the Third Proportional to 11,866.50 and 13,942.13

Step by Step Solution

1. Step 1: Write the proportion equation
   11,866.50 : 13,942.13 = 13,942.13 : x
2. Step 2: Convert to fraction form
   11,866.50/13,942.13 = 13,942.13/x
3. Step 3: Cross multiply
   11,866.50x = 13,942.13 × 13,942.13
4. Step 4: Simplify right side
   11,866.50x = 194,382,849.52
5. Step 5: Solve for x
   x = 194,382,849.52/11,866.50
6. Step 6: Final answer
   x = 16,380.81