Finding the Third Proportional to 9,677 and 13,747

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677 : 13,747 = 13,747 : x
2. Step 2: Convert to fraction form
   9,677/13,747 = 13,747/x
3. Step 3: Cross multiply
   9,677x = 13,747 × 13,747
4. Step 4: Simplify right side
   9,677x = 188,980,009
5. Step 5: Solve for x
   x = 188,980,009/9,677
6. Step 6: Final answer
   x = 19,528.78