Finding the Third Proportional to 6,424 and 7,096

Step by Step Solution

1. Step 1: Write the proportion equation
   6,424 : 7,096 = 7,096 : x
2. Step 2: Convert to fraction form
   6,424/7,096 = 7,096/x
3. Step 3: Cross multiply
   6,424x = 7,096 × 7,096
4. Step 4: Simplify right side
   6,424x = 50,353,216
5. Step 5: Solve for x
   x = 50,353,216/6,424
6. Step 6: Final answer
   x = 7,838.30