Finding the Third Proportional to 48.89 and 77.41

Step by Step Solution

1. Step 1: Write the proportion equation
   48.89 : 77.41 = 77.41 : x
2. Step 2: Convert to fraction form
   48.89/77.41 = 77.41/x
3. Step 3: Cross multiply
   48.89x = 77.41 × 77.41
4. Step 4: Simplify right side
   48.89x = 5,992.94
5. Step 5: Solve for x
   x = 5,992.94/48.89
6. Step 6: Final answer
   x = 122.58