Finding the Third Proportional to 22.78 and 53.58

Step by Step Solution

1. Step 1: Write the proportion equation
   22.78 : 53.58 = 53.58 : x
2. Step 2: Convert to fraction form
   22.78/53.58 = 53.58/x
3. Step 3: Cross multiply
   22.78x = 53.58 × 53.58
4. Step 4: Simplify right side
   22.78x = 2,870.62
5. Step 5: Solve for x
   x = 2,870.62/22.78
6. Step 6: Final answer
   x = 126.01