Finding the Third Proportional to 6,638 and 10,275

Step by Step Solution

1. Step 1: Write the proportion equation
   6,638 : 10,275 = 10,275 : x
2. Step 2: Convert to fraction form
   6,638/10,275 = 10,275/x
3. Step 3: Cross multiply
   6,638x = 10,275 × 10,275
4. Step 4: Simplify right side
   6,638x = 105,575,625
5. Step 5: Solve for x
   x = 105,575,625/6,638
6. Step 6: Final answer
   x = 15,904.73