Finding the Third Proportional to 12,840 and 17,334

Step by Step Solution

1. Step 1: Write the proportion equation
   12,840 : 17,334 = 17,334 : x
2. Step 2: Convert to fraction form
   12,840/17,334 = 17,334/x
3. Step 3: Cross multiply
   12,840x = 17,334 × 17,334
4. Step 4: Simplify right side
   12,840x = 300,467,556
5. Step 5: Solve for x
   x = 300,467,556/12,840
6. Step 6: Final answer
   x = 23,400.90