Finding the Third Proportional to 9,296 and 14,096

Step by Step Solution

1. Step 1: Write the proportion equation
   9,296 : 14,096 = 14,096 : x
2. Step 2: Convert to fraction form
   9,296/14,096 = 14,096/x
3. Step 3: Cross multiply
   9,296x = 14,096 × 14,096
4. Step 4: Simplify right side
   9,296x = 198,697,216
5. Step 5: Solve for x
   x = 198,697,216/9,296
6. Step 6: Final answer
   x = 21,374.49