Finding the Third Proportional to 33,223.50 and 40,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,223.50 : 40,378.50 = 40,378.50 : x
2. Step 2: Convert to fraction form
   33,223.50/40,378.50 = 40,378.50/x
3. Step 3: Cross multiply
   33,223.50x = 40,378.50 × 40,378.50
4. Step 4: Simplify right side
   33,223.50x = 1,630,423,262.25
5. Step 5: Solve for x
   x = 1,630,423,262.25/33,223.50
6. Step 6: Final answer
   x = 49,074.40