Finding the Third Proportional to 9,684 and 13,086

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684 : 13,086 = 13,086 : x
2. Step 2: Convert to fraction form
   9,684/13,086 = 13,086/x
3. Step 3: Cross multiply
   9,684x = 13,086 × 13,086
4. Step 4: Simplify right side
   9,684x = 171,243,396
5. Step 5: Solve for x
   x = 171,243,396/9,684
6. Step 6: Final answer
   x = 17,683.13