Finding the Third Proportional to 18.38 and 37.88

Step by Step Solution

1. Step 1: Write the proportion equation
   18.38 : 37.88 = 37.88 : x
2. Step 2: Convert to fraction form
   18.38/37.88 = 37.88/x
3. Step 3: Cross multiply
   18.38x = 37.88 × 37.88
4. Step 4: Simplify right side
   18.38x = 1,434.52
5. Step 5: Solve for x
   x = 1,434.52/18.38
6. Step 6: Final answer
   x = 78.07