Finding the Third Proportional to 25.73 and 40.82

Step by Step Solution

1. Step 1: Write the proportion equation
   25.73 : 40.82 = 40.82 : x
2. Step 2: Convert to fraction form
   25.73/40.82 = 40.82/x
3. Step 3: Cross multiply
   25.73x = 40.82 × 40.82
4. Step 4: Simplify right side
   25.73x = 1,665.98
5. Step 5: Solve for x
   x = 1,665.98/25.73
6. Step 6: Final answer
   x = 64.74