Finding the Third Proportional to 10,734 and 17,242

Step by Step Solution

1. Step 1: Write the proportion equation
   10,734 : 17,242 = 17,242 : x
2. Step 2: Convert to fraction form
   10,734/17,242 = 17,242/x
3. Step 3: Cross multiply
   10,734x = 17,242 × 17,242
4. Step 4: Simplify right side
   10,734x = 297,286,564
5. Step 5: Solve for x
   x = 297,286,564/10,734
6. Step 6: Final answer
   x = 27,695.79