Finding the Third Proportional to 8,096 and 13,120

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096 : 13,120 = 13,120 : x
2. Step 2: Convert to fraction form
   8,096/13,120 = 13,120/x
3. Step 3: Cross multiply
   8,096x = 13,120 × 13,120
4. Step 4: Simplify right side
   8,096x = 172,134,400
5. Step 5: Solve for x
   x = 172,134,400/8,096
6. Step 6: Final answer
   x = 21,261.66