Finding the Third Proportional to 6,842 and 10,488

Step by Step Solution

1. Step 1: Write the proportion equation
   6,842 : 10,488 = 10,488 : x
2. Step 2: Convert to fraction form
   6,842/10,488 = 10,488/x
3. Step 3: Cross multiply
   6,842x = 10,488 × 10,488
4. Step 4: Simplify right side
   6,842x = 109,998,144
5. Step 5: Solve for x
   x = 109,998,144/6,842
6. Step 6: Final answer
   x = 16,076.90