Finding the Third Proportional to 11,002 and 19,556

Step by Step Solution

1. Step 1: Write the proportion equation
   11,002 : 19,556 = 19,556 : x
2. Step 2: Convert to fraction form
   11,002/19,556 = 19,556/x
3. Step 3: Cross multiply
   11,002x = 19,556 × 19,556
4. Step 4: Simplify right side
   11,002x = 382,437,136
5. Step 5: Solve for x
   x = 382,437,136/11,002
6. Step 6: Final answer
   x = 34,760.69