Finding the Third Proportional to 5,538 and 10,296

Step by Step Solution

1. Step 1: Write the proportion equation
   5,538 : 10,296 = 10,296 : x
2. Step 2: Convert to fraction form
   5,538/10,296 = 10,296/x
3. Step 3: Cross multiply
   5,538x = 10,296 × 10,296
4. Step 4: Simplify right side
   5,538x = 106,007,616
5. Step 5: Solve for x
   x = 106,007,616/5,538
6. Step 6: Final answer
   x = 19,141.86