Finding the Third Proportional to 22.78 and 50.06

Step by Step Solution

1. Step 1: Write the proportion equation
   22.78 : 50.06 = 50.06 : x
2. Step 2: Convert to fraction form
   22.78/50.06 = 50.06/x
3. Step 3: Cross multiply
   22.78x = 50.06 × 50.06
4. Step 4: Simplify right side
   22.78x = 2,506.25
5. Step 5: Solve for x
   x = 2,506.25/22.78
6. Step 6: Final answer
   x = 110.01