Finding the Third Proportional to 22.78 and 35.02

Step by Step Solution

1. Step 1: Write the proportion equation
   22.78 : 35.02 = 35.02 : x
2. Step 2: Convert to fraction form
   22.78/35.02 = 35.02/x
3. Step 3: Cross multiply
   22.78x = 35.02 × 35.02
4. Step 4: Simplify right side
   22.78x = 1,226.09
5. Step 5: Solve for x
   x = 1,226.09/22.78
6. Step 6: Final answer
   x = 53.82