Finding the Third Proportional to 7,680 and 10,096

Step by Step Solution

1. Step 1: Write the proportion equation
   7,680 : 10,096 = 10,096 : x
2. Step 2: Convert to fraction form
   7,680/10,096 = 10,096/x
3. Step 3: Cross multiply
   7,680x = 10,096 × 10,096
4. Step 4: Simplify right side
   7,680x = 101,929,216
5. Step 5: Solve for x
   x = 101,929,216/7,680
6. Step 6: Final answer
   x = 13,272.03