Finding the Third Proportional to 11,544 and 16,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,544 : 16,810.50 = 16,810.50 : x
2. Step 2: Convert to fraction form
   11,544/16,810.50 = 16,810.50/x
3. Step 3: Cross multiply
   11,544x = 16,810.50 × 16,810.50
4. Step 4: Simplify right side
   11,544x = 282,592,910.25
5. Step 5: Solve for x
   x = 282,592,910.25/11,544
6. Step 6: Final answer
   x = 24,479.64