Finding the Third Proportional to 41.77 and 88.59

Step by Step Solution

1. Step 1: Write the proportion equation
   41.77 : 88.59 = 88.59 : x
2. Step 2: Convert to fraction form
   41.77/88.59 = 88.59/x
3. Step 3: Cross multiply
   41.77x = 88.59 × 88.59
4. Step 4: Simplify right side
   41.77x = 7,848.85
5. Step 5: Solve for x
   x = 7,848.85/41.77
6. Step 6: Final answer
   x = 187.93