Finding the Third Proportional to 33,027 and 57,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,027 : 57,640.50 = 57,640.50 : x
2. Step 2: Convert to fraction form
   33,027/57,640.50 = 57,640.50/x
3. Step 3: Cross multiply
   33,027x = 57,640.50 × 57,640.50
4. Step 4: Simplify right side
   33,027x = 3,322,427,240.25
5. Step 5: Solve for x
   x = 3,322,427,240.25/33,027
6. Step 6: Final answer
   x = 100,597.31