Finding the Third Proportional to 89.75 and 121.63

Step by Step Solution

1. Step 1: Write the proportion equation
   89.75 : 121.63 = 121.63 : x
2. Step 2: Convert to fraction form
   89.75/121.63 = 121.63/x
3. Step 3: Cross multiply
   89.75x = 121.63 × 121.63
4. Step 4: Simplify right side
   89.75x = 14,792.64
5. Step 5: Solve for x
   x = 14,792.64/89.75
6. Step 6: Final answer
   x = 164.82