Finding the Third Proportional to 15.94 and 38.81

Step by Step Solution

1. Step 1: Write the proportion equation
   15.94 : 38.81 = 38.81 : x
2. Step 2: Convert to fraction form
   15.94/38.81 = 38.81/x
3. Step 3: Cross multiply
   15.94x = 38.81 × 38.81
4. Step 4: Simplify right side
   15.94x = 1,506.41
5. Step 5: Solve for x
   x = 1,506.41/15.94
6. Step 6: Final answer
   x = 94.52