Finding the Third Proportional to 11,086.50 and 16,586.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,086.50 : 16,586.06 = 16,586.06 : x
2. Step 2: Convert to fraction form
   11,086.50/16,586.06 = 16,586.06/x
3. Step 3: Cross multiply
   11,086.50x = 16,586.06 × 16,586.06
4. Step 4: Simplify right side
   11,086.50x = 275,097,469.25
5. Step 5: Solve for x
   x = 275,097,469.25/11,086.50
6. Step 6: Final answer
   x = 24,813.73