Finding the Third Proportional to 9,616 and 13,686

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616 : 13,686 = 13,686 : x
2. Step 2: Convert to fraction form
   9,616/13,686 = 13,686/x
3. Step 3: Cross multiply
   9,616x = 13,686 × 13,686
4. Step 4: Simplify right side
   9,616x = 187,306,596
5. Step 5: Solve for x
   x = 187,306,596/9,616
6. Step 6: Final answer
   x = 19,478.64