Finding the Third Proportional to 10,648 and 11,608

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648 : 11,608 = 11,608 : x
2. Step 2: Convert to fraction form
   10,648/11,608 = 11,608/x
3. Step 3: Cross multiply
   10,648x = 11,608 × 11,608
4. Step 4: Simplify right side
   10,648x = 134,745,664
5. Step 5: Solve for x
   x = 134,745,664/10,648
6. Step 6: Final answer
   x = 12,654.55