Finding the Third Proportional to 9,566 and 13,695

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566 : 13,695 = 13,695 : x
2. Step 2: Convert to fraction form
   9,566/13,695 = 13,695/x
3. Step 3: Cross multiply
   9,566x = 13,695 × 13,695
4. Step 4: Simplify right side
   9,566x = 187,553,025
5. Step 5: Solve for x
   x = 187,553,025/9,566
6. Step 6: Final answer
   x = 19,606.21