Finding the Third Proportional to 15.88 and 38.38

Step by Step Solution

1. Step 1: Write the proportion equation
   15.88 : 38.38 = 38.38 : x
2. Step 2: Convert to fraction form
   15.88/38.38 = 38.38/x
3. Step 3: Cross multiply
   15.88x = 38.38 × 38.38
4. Step 4: Simplify right side
   15.88x = 1,472.64
5. Step 5: Solve for x
   x = 1,472.64/15.88
6. Step 6: Final answer
   x = 92.76