Finding the Third Proportional to 10,096 and 13,464

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096 : 13,464 = 13,464 : x
2. Step 2: Convert to fraction form
   10,096/13,464 = 13,464/x
3. Step 3: Cross multiply
   10,096x = 13,464 × 13,464
4. Step 4: Simplify right side
   10,096x = 181,279,296
5. Step 5: Solve for x
   x = 181,279,296/10,096
6. Step 6: Final answer
   x = 17,955.56