Finding the Third Proportional to 8,188 and 12,809

Step by Step Solution

1. Step 1: Write the proportion equation
   8,188 : 12,809 = 12,809 : x
2. Step 2: Convert to fraction form
   8,188/12,809 = 12,809/x
3. Step 3: Cross multiply
   8,188x = 12,809 × 12,809
4. Step 4: Simplify right side
   8,188x = 164,070,481
5. Step 5: Solve for x
   x = 164,070,481/8,188
6. Step 6: Final answer
   x = 20,037.92