Finding the Third Proportional to 6,334 and 13,747

Step by Step Solution

1. Step 1: Write the proportion equation
   6,334 : 13,747 = 13,747 : x
2. Step 2: Convert to fraction form
   6,334/13,747 = 13,747/x
3. Step 3: Cross multiply
   6,334x = 13,747 × 13,747
4. Step 4: Simplify right side
   6,334x = 188,980,009
5. Step 5: Solve for x
   x = 188,980,009/6,334
6. Step 6: Final answer
   x = 29,835.81