Finding the Third Proportional to 8,223 and 17,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,223 : 17,759.50 = 17,759.50 : x
2. Step 2: Convert to fraction form
   8,223/17,759.50 = 17,759.50/x
3. Step 3: Cross multiply
   8,223x = 17,759.50 × 17,759.50
4. Step 4: Simplify right side
   8,223x = 315,399,840.25
5. Step 5: Solve for x
   x = 315,399,840.25/8,223
6. Step 6: Final answer
   x = 38,355.81