Finding the Third Proportional to 4,498 and 10,696

Step by Step Solution

1. Step 1: Write the proportion equation
   4,498 : 10,696 = 10,696 : x
2. Step 2: Convert to fraction form
   4,498/10,696 = 10,696/x
3. Step 3: Cross multiply
   4,498x = 10,696 × 10,696
4. Step 4: Simplify right side
   4,498x = 114,404,416
5. Step 5: Solve for x
   x = 114,404,416/4,498
6. Step 6: Final answer
   x = 25,434.51