Finding the Third Proportional to 33,676 and 49,290

Step by Step Solution

1. Step 1: Write the proportion equation
   33,676 : 49,290 = 49,290 : x
2. Step 2: Convert to fraction form
   33,676/49,290 = 49,290/x
3. Step 3: Cross multiply
   33,676x = 49,290 × 49,290
4. Step 4: Simplify right side
   33,676x = 2,429,504,100
5. Step 5: Solve for x
   x = 2,429,504,100/33,676
6. Step 6: Final answer
   x = 72,143.49