Finding the Third Proportional to 7,698 and 10,274

Step by Step Solution

1. Step 1: Write the proportion equation
   7,698 : 10,274 = 10,274 : x
2. Step 2: Convert to fraction form
   7,698/10,274 = 10,274/x
3. Step 3: Cross multiply
   7,698x = 10,274 × 10,274
4. Step 4: Simplify right side
   7,698x = 105,555,076
5. Step 5: Solve for x
   x = 105,555,076/7,698
6. Step 6: Final answer
   x = 13,712.01