Finding the Third Proportional to 8,192 and 12,329

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 12,329 = 12,329 : x
2. Step 2: Convert to fraction form
   8,192/12,329 = 12,329/x
3. Step 3: Cross multiply
   8,192x = 12,329 × 12,329
4. Step 4: Simplify right side
   8,192x = 152,004,241
5. Step 5: Solve for x
   x = 152,004,241/8,192
6. Step 6: Final answer
   x = 18,555.21