Finding the Third Proportional to 11,686 and 16,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,686 : 16,797.50 = 16,797.50 : x
2. Step 2: Convert to fraction form
   11,686/16,797.50 = 16,797.50/x
3. Step 3: Cross multiply
   11,686x = 16,797.50 × 16,797.50
4. Step 4: Simplify right side
   11,686x = 282,156,006.25
5. Step 5: Solve for x
   x = 282,156,006.25/11,686
6. Step 6: Final answer
   x = 24,144.79