Finding the Third Proportional to 9,040 and 10,688

Step by Step Solution

1. Step 1: Write the proportion equation
   9,040 : 10,688 = 10,688 : x
2. Step 2: Convert to fraction form
   9,040/10,688 = 10,688/x
3. Step 3: Cross multiply
   9,040x = 10,688 × 10,688
4. Step 4: Simplify right side
   9,040x = 114,233,344
5. Step 5: Solve for x
   x = 114,233,344/9,040
6. Step 6: Final answer
   x = 12,636.43