Finding the Third Proportional to 23.06 and 35.69

Step by Step Solution

1. Step 1: Write the proportion equation
   23.06 : 35.69 = 35.69 : x
2. Step 2: Convert to fraction form
   23.06/35.69 = 35.69/x
3. Step 3: Cross multiply
   23.06x = 35.69 × 35.69
4. Step 4: Simplify right side
   23.06x = 1,273.60
5. Step 5: Solve for x
   x = 1,273.60/23.06
6. Step 6: Final answer
   x = 55.22