Finding the Third Proportional to 17,874 and 41,556

Step by Step Solution

1. Step 1: Write the proportion equation
   17,874 : 41,556 = 41,556 : x
2. Step 2: Convert to fraction form
   17,874/41,556 = 41,556/x
3. Step 3: Cross multiply
   17,874x = 41,556 × 41,556
4. Step 4: Simplify right side
   17,874x = 1,726,901,136
5. Step 5: Solve for x
   x = 1,726,901,136/17,874
6. Step 6: Final answer
   x = 96,615.26