Finding the Third Proportional to 11,556 and 17,371

Step by Step Solution

1. Step 1: Write the proportion equation
   11,556 : 17,371 = 17,371 : x
2. Step 2: Convert to fraction form
   11,556/17,371 = 17,371/x
3. Step 3: Cross multiply
   11,556x = 17,371 × 17,371
4. Step 4: Simplify right side
   11,556x = 301,751,641
5. Step 5: Solve for x
   x = 301,751,641/11,556
6. Step 6: Final answer
   x = 26,112.12