Finding the Third Proportional to 8,192 and 12,851

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 12,851 = 12,851 : x
2. Step 2: Convert to fraction form
   8,192/12,851 = 12,851/x
3. Step 3: Cross multiply
   8,192x = 12,851 × 12,851
4. Step 4: Simplify right side
   8,192x = 165,148,201
5. Step 5: Solve for x
   x = 165,148,201/8,192
6. Step 6: Final answer
   x = 20,159.69