Finding the Third Proportional to 13,096 and 15,760

Step by Step Solution

1. Step 1: Write the proportion equation
   13,096 : 15,760 = 15,760 : x
2. Step 2: Convert to fraction form
   13,096/15,760 = 15,760/x
3. Step 3: Cross multiply
   13,096x = 15,760 × 15,760
4. Step 4: Simplify right side
   13,096x = 248,377,600
5. Step 5: Solve for x
   x = 248,377,600/13,096
6. Step 6: Final answer
   x = 18,965.91