Finding the Third Proportional to 18.69 and 38.06

Step by Step Solution

1. Step 1: Write the proportion equation
   18.69 : 38.06 = 38.06 : x
2. Step 2: Convert to fraction form
   18.69/38.06 = 38.06/x
3. Step 3: Cross multiply
   18.69x = 38.06 × 38.06
4. Step 4: Simplify right side
   18.69x = 1,448.75
5. Step 5: Solve for x
   x = 1,448.75/18.69
6. Step 6: Final answer
   x = 77.53