Finding the Third Proportional to 37.55 and 45.73

Step by Step Solution

1. Step 1: Write the proportion equation
   37.55 : 45.73 = 45.73 : x
2. Step 2: Convert to fraction form
   37.55/45.73 = 45.73/x
3. Step 3: Cross multiply
   37.55x = 45.73 × 45.73
4. Step 4: Simplify right side
   37.55x = 2,090.92
5. Step 5: Solve for x
   x = 2,090.92/37.55
6. Step 6: Final answer
   x = 55.69