Finding the Third Proportional to 11,086.75 and 16,586.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,086.75 : 16,586.38 = 16,586.38 : x
2. Step 2: Convert to fraction form
   11,086.75/16,586.38 = 16,586.38/x
3. Step 3: Cross multiply
   11,086.75x = 16,586.38 × 16,586.38
4. Step 4: Simplify right side
   11,086.75x = 275,107,835.64
5. Step 5: Solve for x
   x = 275,107,835.64/11,086.75
6. Step 6: Final answer
   x = 24,814.11