Finding the Third Proportional to 50,256 and 76,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,256 : 76,033.50 = 76,033.50 : x
2. Step 2: Convert to fraction form
   50,256/76,033.50 = 76,033.50/x
3. Step 3: Cross multiply
   50,256x = 76,033.50 × 76,033.50
4. Step 4: Simplify right side
   50,256x = 5,781,093,122.25
5. Step 5: Solve for x
   x = 5,781,093,122.25/50,256
6. Step 6: Final answer
   x = 115,032.89