Finding the Third Proportional to 6,842 and 10,877

Step by Step Solution

1. Step 1: Write the proportion equation
   6,842 : 10,877 = 10,877 : x
2. Step 2: Convert to fraction form
   6,842/10,877 = 10,877/x
3. Step 3: Cross multiply
   6,842x = 10,877 × 10,877
4. Step 4: Simplify right side
   6,842x = 118,309,129
5. Step 5: Solve for x
   x = 118,309,129/6,842
6. Step 6: Final answer
   x = 17,291.60