Finding the Third Proportional to 27.75 and 42.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27.75 : 42.75 = 42.75 : x
2. Step 2: Convert to fraction form
   27.75/42.75 = 42.75/x
3. Step 3: Cross multiply
   27.75x = 42.75 × 42.75
4. Step 4: Simplify right side
   27.75x = 1,827.56
5. Step 5: Solve for x
   x = 1,827.56/27.75
6. Step 6: Final answer
   x = 65.86