Finding the Third Proportional to 22.78 and 155.67

Step by Step Solution

1. Step 1: Write the proportion equation
   22.78 : 155.67 = 155.67 : x
2. Step 2: Convert to fraction form
   22.78/155.67 = 155.67/x
3. Step 3: Cross multiply
   22.78x = 155.67 × 155.67
4. Step 4: Simplify right side
   22.78x = 24,233.73
5. Step 5: Solve for x
   x = 24,233.73/22.78
6. Step 6: Final answer
   x = 1,063.76