Finding the Third Proportional to 6,742 and 13,778

Step by Step Solution

1. Step 1: Write the proportion equation
   6,742 : 13,778 = 13,778 : x
2. Step 2: Convert to fraction form
   6,742/13,778 = 13,778/x
3. Step 3: Cross multiply
   6,742x = 13,778 × 13,778
4. Step 4: Simplify right side
   6,742x = 189,833,284
5. Step 5: Solve for x
   x = 189,833,284/6,742
6. Step 6: Final answer
   x = 28,156.82