Finding the Third Proportional to 22.78 and 46.83

Step by Step Solution

1. Step 1: Write the proportion equation
   22.78 : 46.83 = 46.83 : x
2. Step 2: Convert to fraction form
   22.78/46.83 = 46.83/x
3. Step 3: Cross multiply
   22.78x = 46.83 × 46.83
4. Step 4: Simplify right side
   22.78x = 2,192.87
5. Step 5: Solve for x
   x = 2,192.87/22.78
6. Step 6: Final answer
   x = 96.26