Finding the Third Proportional to 33,774 and 49,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,774 : 49,357.50 = 49,357.50 : x
2. Step 2: Convert to fraction form
   33,774/49,357.50 = 49,357.50/x
3. Step 3: Cross multiply
   33,774x = 49,357.50 × 49,357.50
4. Step 4: Simplify right side
   33,774x = 2,436,162,806.25
5. Step 5: Solve for x
   x = 2,436,162,806.25/33,774
6. Step 6: Final answer
   x = 72,131.31