Finding the Third Proportional to 14,223 and 33,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,223 : 33,238.50 = 33,238.50 : x
2. Step 2: Convert to fraction form
   14,223/33,238.50 = 33,238.50/x
3. Step 3: Cross multiply
   14,223x = 33,238.50 × 33,238.50
4. Step 4: Simplify right side
   14,223x = 1,104,797,882.25
5. Step 5: Solve for x
   x = 1,104,797,882.25/14,223
6. Step 6: Final answer
   x = 77,676.85