Finding the Third Proportional to 33,774 and 49,358.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,774 : 49,358.25 = 49,358.25 : x
2. Step 2: Convert to fraction form
   33,774/49,358.25 = 49,358.25/x
3. Step 3: Cross multiply
   33,774x = 49,358.25 × 49,358.25
4. Step 4: Simplify right side
   33,774x = 2,436,236,843.06
5. Step 5: Solve for x
   x = 2,436,236,843.06/33,774
6. Step 6: Final answer
   x = 72,133.50