Finding the Third Proportional to 8,096 and 15,680

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096 : 15,680 = 15,680 : x
2. Step 2: Convert to fraction form
   8,096/15,680 = 15,680/x
3. Step 3: Cross multiply
   8,096x = 15,680 × 15,680
4. Step 4: Simplify right side
   8,096x = 245,862,400
5. Step 5: Solve for x
   x = 245,862,400/8,096
6. Step 6: Final answer
   x = 30,368.38