Finding the Third Proportional to 33,986.25 and 51,728.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,986.25 : 51,728.63 = 51,728.63 : x
2. Step 2: Convert to fraction form
   33,986.25/51,728.63 = 51,728.63/x
3. Step 3: Cross multiply
   33,986.25x = 51,728.63 × 51,728.63
4. Step 4: Simplify right side
   33,986.25x = 2,675,850,644.39
5. Step 5: Solve for x
   x = 2,675,850,644.39/33,986.25
6. Step 6: Final answer
   x = 78,733.33