Finding the Third Proportional to 22.89 and 49.60

Step by Step Solution

1. Step 1: Write the proportion equation
   22.89 : 49.60 = 49.60 : x
2. Step 2: Convert to fraction form
   22.89/49.60 = 49.60/x
3. Step 3: Cross multiply
   22.89x = 49.60 × 49.60
4. Step 4: Simplify right side
   22.89x = 2,459.83
5. Step 5: Solve for x
   x = 2,459.83/22.89
6. Step 6: Final answer
   x = 107.48