Finding the Third Proportional to 6,760 and 10,842

Step by Step Solution

1. Step 1: Write the proportion equation
   6,760 : 10,842 = 10,842 : x
2. Step 2: Convert to fraction form
   6,760/10,842 = 10,842/x
3. Step 3: Cross multiply
   6,760x = 10,842 × 10,842
4. Step 4: Simplify right side
   6,760x = 117,548,964
5. Step 5: Solve for x
   x = 117,548,964/6,760
6. Step 6: Final answer
   x = 17,388.90