Finding the Third Proportional to 27.75 and 43.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27.75 : 43.25 = 43.25 : x
2. Step 2: Convert to fraction form
   27.75/43.25 = 43.25/x
3. Step 3: Cross multiply
   27.75x = 43.25 × 43.25
4. Step 4: Simplify right side
   27.75x = 1,870.56
5. Step 5: Solve for x
   x = 1,870.56/27.75
6. Step 6: Final answer
   x = 67.41