Finding the Third Proportional to 37.25 and 54.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37.25 : 54.63 = 54.63 : x
2. Step 2: Convert to fraction form
   37.25/54.63 = 54.63/x
3. Step 3: Cross multiply
   37.25x = 54.63 × 54.63
4. Step 4: Simplify right side
   37.25x = 2,983.89
5. Step 5: Solve for x
   x = 2,983.89/37.25
6. Step 6: Final answer
   x = 80.10