Finding the Third Proportional to 5,096 and 10,660

Step by Step Solution

1. Step 1: Write the proportion equation
   5,096 : 10,660 = 10,660 : x
2. Step 2: Convert to fraction form
   5,096/10,660 = 10,660/x
3. Step 3: Cross multiply
   5,096x = 10,660 × 10,660
4. Step 4: Simplify right side
   5,096x = 113,635,600
5. Step 5: Solve for x
   x = 113,635,600/5,096
6. Step 6: Final answer
   x = 22,298.98