Finding the Third Proportional to 65.81 and 154.69

Step by Step Solution

1. Step 1: Write the proportion equation
   65.81 : 154.69 = 154.69 : x
2. Step 2: Convert to fraction form
   65.81/154.69 = 154.69/x
3. Step 3: Cross multiply
   65.81x = 154.69 × 154.69
4. Step 4: Simplify right side
   65.81x = 23,928.22
5. Step 5: Solve for x
   x = 23,928.22/65.81
6. Step 6: Final answer
   x = 363.58