Finding the Third Proportional to 21.75 and 49.31

Step by Step Solution

1. Step 1: Write the proportion equation
   21.75 : 49.31 = 49.31 : x
2. Step 2: Convert to fraction form
   21.75/49.31 = 49.31/x
3. Step 3: Cross multiply
   21.75x = 49.31 × 49.31
4. Step 4: Simplify right side
   21.75x = 2,431.72
5. Step 5: Solve for x
   x = 2,431.72/21.75
6. Step 6: Final answer
   x = 111.80