Finding the Third Proportional to 8,226.98 and 17,767.34

Step by Step Solution

1. Step 1: Write the proportion equation
   8,226.98 : 17,767.34 = 17,767.34 : x
2. Step 2: Convert to fraction form
   8,226.98/17,767.34 = 17,767.34/x
3. Step 3: Cross multiply
   8,226.98x = 17,767.34 × 17,767.34
4. Step 4: Simplify right side
   8,226.98x = 315,678,226.32
5. Step 5: Solve for x
   x = 315,678,226.32/8,226.98
6. Step 6: Final answer
   x = 38,371.07