Finding the Third Proportional to 23.61 and 35.42

Step by Step Solution

1. Step 1: Write the proportion equation
   23.61 : 35.42 = 35.42 : x
2. Step 2: Convert to fraction form
   23.61/35.42 = 35.42/x
3. Step 3: Cross multiply
   23.61x = 35.42 × 35.42
4. Step 4: Simplify right side
   23.61x = 1,254.42
5. Step 5: Solve for x
   x = 1,254.42/23.61
6. Step 6: Final answer
   x = 53.13