Finding the Third Proportional to 8,192 and 17,771.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,192 : 17,771.50 = 17,771.50 : x
2. Step 2: Convert to fraction form
   8,192/17,771.50 = 17,771.50/x
3. Step 3: Cross multiply
   8,192x = 17,771.50 × 17,771.50
4. Step 4: Simplify right side
   8,192x = 315,826,212.25
5. Step 5: Solve for x
   x = 315,826,212.25/8,192
6. Step 6: Final answer
   x = 38,553.00