Finding the Third Proportional to 11,556 and 17,819

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 17,819 = 17,819 : x
2. Step 2: Convert to fraction form
   11,556/17,819 = 17,819/x
3. Step 3: Cross multiply
   11,556x = 17,819 × 17,819
4. Step 4: Simplify right side
   11,556x = 317,516,761
5. Step 5: Solve for x
   x = 317,516,761/11,556
6. Step 6: Final answer
   x = 27,476.36