Finding the Third Proportional to 41.77 and 98.72

Step by Step Solution

1. Step 1: Write the proportion equation
   41.77 : 98.72 = 98.72 : x
2. Step 2: Convert to fraction form
   41.77/98.72 = 98.72/x
3. Step 3: Cross multiply
   41.77x = 98.72 × 98.72
4. Step 4: Simplify right side
   41.77x = 9,745.39
5. Step 5: Solve for x
   x = 9,745.39/41.77
6. Step 6: Final answer
   x = 233.34