Finding the Third Proportional to 37.97 and 45.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37.97 : 45.56 = 45.56 : x
2. Step 2: Convert to fraction form
   37.97/45.56 = 45.56/x
3. Step 3: Cross multiply
   37.97x = 45.56 × 45.56
4. Step 4: Simplify right side
   37.97x = 2,075.94
5. Step 5: Solve for x
   x = 2,075.94/37.97
6. Step 6: Final answer
   x = 54.68