Finding the Third Proportional to 12,840 and 17,343

Step by Step Solution

1. Step 1: Write the proportion equation
   12,840 : 17,343 = 17,343 : x
2. Step 2: Convert to fraction form
   12,840/17,343 = 17,343/x
3. Step 3: Cross multiply
   12,840x = 17,343 × 17,343
4. Step 4: Simplify right side
   12,840x = 300,779,649
5. Step 5: Solve for x
   x = 300,779,649/12,840
6. Step 6: Final answer
   x = 23,425.21