Finding the Third Proportional to 24.89 and 50.77

Step by Step Solution

1. Step 1: Write the proportion equation
   24.89 : 50.77 = 50.77 : x
2. Step 2: Convert to fraction form
   24.89/50.77 = 50.77/x
3. Step 3: Cross multiply
   24.89x = 50.77 × 50.77
4. Step 4: Simplify right side
   24.89x = 2,577.15
5. Step 5: Solve for x
   x = 2,577.15/24.89
6. Step 6: Final answer
   x = 103.54