Finding the Third Proportional to 8,192 and 12,815

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 12,815 = 12,815 : x
2. Step 2: Convert to fraction form
   8,192/12,815 = 12,815/x
3. Step 3: Cross multiply
   8,192x = 12,815 × 12,815
4. Step 4: Simplify right side
   8,192x = 164,224,225
5. Step 5: Solve for x
   x = 164,224,225/8,192
6. Step 6: Final answer
   x = 20,046.90