Finding the Third Proportional to 33,009 and 48,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,009 : 48,785.50 = 48,785.50 : x
2. Step 2: Convert to fraction form
   33,009/48,785.50 = 48,785.50/x
3. Step 3: Cross multiply
   33,009x = 48,785.50 × 48,785.50
4. Step 4: Simplify right side
   33,009x = 2,380,025,010.25
5. Step 5: Solve for x
   x = 2,380,025,010.25/33,009
6. Step 6: Final answer
   x = 72,102.31