Finding the Third Proportional to 65.53 and 154.83

Step by Step Solution

1. Step 1: Write the proportion equation
   65.53 : 154.83 = 154.83 : x
2. Step 2: Convert to fraction form
   65.53/154.83 = 154.83/x
3. Step 3: Cross multiply
   65.53x = 154.83 × 154.83
4. Step 4: Simplify right side
   65.53x = 23,971.75
5. Step 5: Solve for x
   x = 23,971.75/65.53
6. Step 6: Final answer
   x = 365.81