Finding the Third Proportional to 6,000 and 10,696

Step by Step Solution

1. Step 1: Write the proportion equation
   6,000 : 10,696 = 10,696 : x
2. Step 2: Convert to fraction form
   6,000/10,696 = 10,696/x
3. Step 3: Cross multiply
   6,000x = 10,696 × 10,696
4. Step 4: Simplify right side
   6,000x = 114,404,416
5. Step 5: Solve for x
   x = 114,404,416/6,000
6. Step 6: Final answer
   x = 19,067.40