Finding the Third Proportional to 8,223 and 17,832

Step by Step Solution

1. Step 1: Write the proportion equation
   8,223 : 17,832 = 17,832 : x
2. Step 2: Convert to fraction form
   8,223/17,832 = 17,832/x
3. Step 3: Cross multiply
   8,223x = 17,832 × 17,832
4. Step 4: Simplify right side
   8,223x = 317,980,224
5. Step 5: Solve for x
   x = 317,980,224/8,223
6. Step 6: Final answer
   x = 38,669.61