Finding the Third Proportional to 5,538 and 13,155

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538 : 13,155 = 13,155 : x
2. Step 2: Convert to fraction form
   5,538/13,155 = 13,155/x
3. Step 3: Cross multiply
   5,538x = 13,155 × 13,155
4. Step 4: Simplify right side
   5,538x = 173,054,025
5. Step 5: Solve for x
   x = 173,054,025/5,538
6. Step 6: Final answer
   x = 31,248.47