Finding the Third Proportional to 8,192 and 17,596

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 17,596 = 17,596 : x
2. Step 2: Convert to fraction form
   8,192/17,596 = 17,596/x
3. Step 3: Cross multiply
   8,192x = 17,596 × 17,596
4. Step 4: Simplify right side
   8,192x = 309,619,216
5. Step 5: Solve for x
   x = 309,619,216/8,192
6. Step 6: Final answer
   x = 37,795.31