Finding the Third Proportional to 48.09 and 98.72

Step by Step Solution

1. Step 1: Write the proportion equation
   48.09 : 98.72 = 98.72 : x
2. Step 2: Convert to fraction form
   48.09/98.72 = 98.72/x
3. Step 3: Cross multiply
   48.09x = 98.72 × 98.72
4. Step 4: Simplify right side
   48.09x = 9,745.39
5. Step 5: Solve for x
   x = 9,745.39/48.09
6. Step 6: Final answer
   x = 202.63