Finding the Third Proportional to 27.38 and 45.38

Step by Step Solution

1. Step 1: Write the proportion equation
   27.38 : 45.38 = 45.38 : x
2. Step 2: Convert to fraction form
   27.38/45.38 = 45.38/x
3. Step 3: Cross multiply
   27.38x = 45.38 × 45.38
4. Step 4: Simplify right side
   27.38x = 2,058.89
5. Step 5: Solve for x
   x = 2,058.89/27.38
6. Step 6: Final answer
   x = 75.21