Finding the Third Proportional to 6,500 and 14,096

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500 : 14,096 = 14,096 : x
2. Step 2: Convert to fraction form
   6,500/14,096 = 14,096/x
3. Step 3: Cross multiply
   6,500x = 14,096 × 14,096
4. Step 4: Simplify right side
   6,500x = 198,697,216
5. Step 5: Solve for x
   x = 198,697,216/6,500
6. Step 6: Final answer
   x = 30,568.80