Finding the Third Proportional to 8,192 and 12,298

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 12,298 = 12,298 : x
2. Step 2: Convert to fraction form
   8,192/12,298 = 12,298/x
3. Step 3: Cross multiply
   8,192x = 12,298 × 12,298
4. Step 4: Simplify right side
   8,192x = 151,240,804
5. Step 5: Solve for x
   x = 151,240,804/8,192
6. Step 6: Final answer
   x = 18,462.01