Finding the Third Proportional to 33,768 and 72,650.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,768 : 72,650.25 = 72,650.25 : x
2. Step 2: Convert to fraction form
   33,768/72,650.25 = 72,650.25/x
3. Step 3: Cross multiply
   33,768x = 72,650.25 × 72,650.25
4. Step 4: Simplify right side
   33,768x = 5,278,058,825.06
5. Step 5: Solve for x
   x = 5,278,058,825.06/33,768
6. Step 6: Final answer
   x = 156,303.57