Finding the Third Proportional to 11,556 and 16,514.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 16,514.25 = 16,514.25 : x
2. Step 2: Convert to fraction form
   11,556/16,514.25 = 16,514.25/x
3. Step 3: Cross multiply
   11,556x = 16,514.25 × 16,514.25
4. Step 4: Simplify right side
   11,556x = 272,720,453.06
5. Step 5: Solve for x
   x = 272,720,453.06/11,556
6. Step 6: Final answer
   x = 23,599.90