Finding the Third Proportional to 35.65 and 55.27

Step by Step Solution

1. Step 1: Write the proportion equation
   35.65 : 55.27 = 55.27 : x
2. Step 2: Convert to fraction form
   35.65/55.27 = 55.27/x
3. Step 3: Cross multiply
   35.65x = 55.27 × 55.27
4. Step 4: Simplify right side
   35.65x = 3,054.29
5. Step 5: Solve for x
   x = 3,054.29/35.65
6. Step 6: Final answer
   x = 85.68