Finding the Third Proportional to 8,192 and 12,608

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 12,608 = 12,608 : x
2. Step 2: Convert to fraction form
   8,192/12,608 = 12,608/x
3. Step 3: Cross multiply
   8,192x = 12,608 × 12,608
4. Step 4: Simplify right side
   8,192x = 158,961,664
5. Step 5: Solve for x
   x = 158,961,664/8,192
6. Step 6: Final answer
   x = 19,404.50