Finding the Third Proportional to 6,266 and 13,729

Step by Step Solution

1. Step 1: Write the proportion equation
   6,266 : 13,729 = 13,729 : x
2. Step 2: Convert to fraction form
   6,266/13,729 = 13,729/x
3. Step 3: Cross multiply
   6,266x = 13,729 × 13,729
4. Step 4: Simplify right side
   6,266x = 188,485,441
5. Step 5: Solve for x
   x = 188,485,441/6,266
6. Step 6: Final answer
   x = 30,080.66