Finding the Third Proportional to 9,086 and 13,697

Step by Step Solution

1. Step 1: Write the proportion equation
   9,086 : 13,697 = 13,697 : x
2. Step 2: Convert to fraction form
   9,086/13,697 = 13,697/x
3. Step 3: Cross multiply
   9,086x = 13,697 × 13,697
4. Step 4: Simplify right side
   9,086x = 187,607,809
5. Step 5: Solve for x
   x = 187,607,809/9,086
6. Step 6: Final answer
   x = 20,648.01