Finding the Third Proportional to 5,538 and 10,806

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538 : 10,806 = 10,806 : x
2. Step 2: Convert to fraction form
   5,538/10,806 = 10,806/x
3. Step 3: Cross multiply
   5,538x = 10,806 × 10,806
4. Step 4: Simplify right side
   5,538x = 116,769,636
5. Step 5: Solve for x
   x = 116,769,636/5,538
6. Step 6: Final answer
   x = 21,085.16