Finding the Third Proportional to 41.77 and 88.28

Step by Step Solution

1. Step 1: Write the proportion equation
   41.77 : 88.28 = 88.28 : x
2. Step 2: Convert to fraction form
   41.77/88.28 = 88.28/x
3. Step 3: Cross multiply
   41.77x = 88.28 × 88.28
4. Step 4: Simplify right side
   41.77x = 7,792.89
5. Step 5: Solve for x
   x = 7,792.89/41.77
6. Step 6: Final answer
   x = 186.59