Finding the Third Proportional to 6,842 and 13,180

Step by Step Solution

1. Step 1: Write the proportion equation
   6,842 : 13,180 = 13,180 : x
2. Step 2: Convert to fraction form
   6,842/13,180 = 13,180/x
3. Step 3: Cross multiply
   6,842x = 13,180 × 13,180
4. Step 4: Simplify right side
   6,842x = 173,712,400
5. Step 5: Solve for x
   x = 173,712,400/6,842
6. Step 6: Final answer
   x = 25,389.13