Finding the Third Proportional to 9,538 and 10,498

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538 : 10,498 = 10,498 : x
2. Step 2: Convert to fraction form
   9,538/10,498 = 10,498/x
3. Step 3: Cross multiply
   9,538x = 10,498 × 10,498
4. Step 4: Simplify right side
   9,538x = 110,208,004
5. Step 5: Solve for x
   x = 110,208,004/9,538
6. Step 6: Final answer
   x = 11,554.62