Finding the Third Proportional to 11,556 and 16,748

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 16,748 = 16,748 : x
2. Step 2: Convert to fraction form
   11,556/16,748 = 16,748/x
3. Step 3: Cross multiply
   11,556x = 16,748 × 16,748
4. Step 4: Simplify right side
   11,556x = 280,495,504
5. Step 5: Solve for x
   x = 280,495,504/11,556
6. Step 6: Final answer
   x = 24,272.72