Finding the Third Proportional to 27.84 and 59.77

Step by Step Solution

1. Step 1: Write the proportion equation
   27.84 : 59.77 = 59.77 : x
2. Step 2: Convert to fraction form
   27.84/59.77 = 59.77/x
3. Step 3: Cross multiply
   27.84x = 59.77 × 59.77
4. Step 4: Simplify right side
   27.84x = 3,571.93
5. Step 5: Solve for x
   x = 3,571.93/27.84
6. Step 6: Final answer
   x = 128.28