Finding the Third Proportional to 8,544 and 12,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,544 : 12,517.50 = 12,517.50 : x
2. Step 2: Convert to fraction form
   8,544/12,517.50 = 12,517.50/x
3. Step 3: Cross multiply
   8,544x = 12,517.50 × 12,517.50
4. Step 4: Simplify right side
   8,544x = 156,687,806.25
5. Step 5: Solve for x
   x = 156,687,806.25/8,544
6. Step 6: Final answer
   x = 18,338.93