Finding the Third Proportional to 7,688 and 10,266

Step by Step Solution

1. Step 1: Write the proportion equation
   7,688 : 10,266 = 10,266 : x
2. Step 2: Convert to fraction form
   7,688/10,266 = 10,266/x
3. Step 3: Cross multiply
   7,688x = 10,266 × 10,266
4. Step 4: Simplify right side
   7,688x = 105,390,756
5. Step 5: Solve for x
   x = 105,390,756/7,688
6. Step 6: Final answer
   x = 13,708.48