Finding the Third Proportional to 8,426 and 12,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,426 : 12,896.50 = 12,896.50 : x
2. Step 2: Convert to fraction form
   8,426/12,896.50 = 12,896.50/x
3. Step 3: Cross multiply
   8,426x = 12,896.50 × 12,896.50
4. Step 4: Simplify right side
   8,426x = 166,319,712.25
5. Step 5: Solve for x
   x = 166,319,712.25/8,426
6. Step 6: Final answer
   x = 19,738.87