Finding the Third Proportional to 22.83 and 46.61

Step by Step Solution

1. Step 1: Write the proportion equation
   22.83 : 46.61 = 46.61 : x
2. Step 2: Convert to fraction form
   22.83/46.61 = 46.61/x
3. Step 3: Cross multiply
   22.83x = 46.61 × 46.61
4. Step 4: Simplify right side
   22.83x = 2,172.39
5. Step 5: Solve for x
   x = 2,172.39/22.83
6. Step 6: Final answer
   x = 95.16