Finding the Third Proportional to 11,556 and 15,175.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 15,175.69 = 15,175.69 : x
2. Step 2: Convert to fraction form
   11,556/15,175.69 = 15,175.69/x
3. Step 3: Cross multiply
   11,556x = 15,175.69 × 15,175.69
4. Step 4: Simplify right side
   11,556x = 230,301,491.10
5. Step 5: Solve for x
   x = 230,301,491.10/11,556
6. Step 6: Final answer
   x = 19,929.17