Finding the Third Proportional to 9,686 and 14,488

Step by Step Solution

1. Step 1: Write the proportion equation
   9,686 : 14,488 = 14,488 : x
2. Step 2: Convert to fraction form
   9,686/14,488 = 14,488/x
3. Step 3: Cross multiply
   9,686x = 14,488 × 14,488
4. Step 4: Simplify right side
   9,686x = 209,902,144
5. Step 5: Solve for x
   x = 209,902,144/9,686
6. Step 6: Final answer
   x = 21,670.67