Finding the Third Proportional to 5,538 and 10,788

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538 : 10,788 = 10,788 : x
2. Step 2: Convert to fraction form
   5,538/10,788 = 10,788/x
3. Step 3: Cross multiply
   5,538x = 10,788 × 10,788
4. Step 4: Simplify right side
   5,538x = 116,380,944
5. Step 5: Solve for x
   x = 116,380,944/5,538
6. Step 6: Final answer
   x = 21,014.98