Finding the Third Proportional to 27.75 and 40.31

Step by Step Solution

1. Step 1: Write the proportion equation
   27.75 : 40.31 = 40.31 : x
2. Step 2: Convert to fraction form
   27.75/40.31 = 40.31/x
3. Step 3: Cross multiply
   27.75x = 40.31 × 40.31
4. Step 4: Simplify right side
   27.75x = 1,625.10
5. Step 5: Solve for x
   x = 1,625.10/27.75
6. Step 6: Final answer
   x = 58.56