Finding the Third Proportional to 10,642 and 19,556

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642 : 19,556 = 19,556 : x
2. Step 2: Convert to fraction form
   10,642/19,556 = 19,556/x
3. Step 3: Cross multiply
   10,642x = 19,556 × 19,556
4. Step 4: Simplify right side
   10,642x = 382,437,136
5. Step 5: Solve for x
   x = 382,437,136/10,642
6. Step 6: Final answer
   x = 35,936.58