Finding the Third Proportional to 9,384 and 13,556

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384 : 13,556 = 13,556 : x
2. Step 2: Convert to fraction form
   9,384/13,556 = 13,556/x
3. Step 3: Cross multiply
   9,384x = 13,556 × 13,556
4. Step 4: Simplify right side
   9,384x = 183,765,136
5. Step 5: Solve for x
   x = 183,765,136/9,384
6. Step 6: Final answer
   x = 19,582.82