Finding the Third Proportional to 37.47 and 53.73

Step by Step Solution

1. Step 1: Write the proportion equation
   37.47 : 53.73 = 53.73 : x
2. Step 2: Convert to fraction form
   37.47/53.73 = 53.73/x
3. Step 3: Cross multiply
   37.47x = 53.73 × 53.73
4. Step 4: Simplify right side
   37.47x = 2,887.38
5. Step 5: Solve for x
   x = 2,887.38/37.47
6. Step 6: Final answer
   x = 77.06