Finding the Third Proportional to 6,424 and 13,736

Step by Step Solution

1. Step 1: Write the proportion equation
   6,424 : 13,736 = 13,736 : x
2. Step 2: Convert to fraction form
   6,424/13,736 = 13,736/x
3. Step 3: Cross multiply
   6,424x = 13,736 × 13,736
4. Step 4: Simplify right side
   6,424x = 188,677,696
5. Step 5: Solve for x
   x = 188,677,696/6,424
6. Step 6: Final answer
   x = 29,370.75