Finding the Third Proportional to 10,272 and 13,344

Step by Step Solution

1. Step 1: Write the proportion equation
   10,272 : 13,344 = 13,344 : x
2. Step 2: Convert to fraction form
   10,272/13,344 = 13,344/x
3. Step 3: Cross multiply
   10,272x = 13,344 × 13,344
4. Step 4: Simplify right side
   10,272x = 178,062,336
5. Step 5: Solve for x
   x = 178,062,336/10,272
6. Step 6: Final answer
   x = 17,334.73