Finding the Third Proportional to 10,806 and 23,556

Step by Step Solution

1. Step 1: Write the proportion equation
   10,806 : 23,556 = 23,556 : x
2. Step 2: Convert to fraction form
   10,806/23,556 = 23,556/x
3. Step 3: Cross multiply
   10,806x = 23,556 × 23,556
4. Step 4: Simplify right side
   10,806x = 554,885,136
5. Step 5: Solve for x
   x = 554,885,136/10,806
6. Step 6: Final answer
   x = 51,349.73