Finding the Third Proportional to 39.75 and 86.38

Step by Step Solution

1. Step 1: Write the proportion equation
   39.75 : 86.38 = 86.38 : x
2. Step 2: Convert to fraction form
   39.75/86.38 = 86.38/x
3. Step 3: Cross multiply
   39.75x = 86.38 × 86.38
4. Step 4: Simplify right side
   39.75x = 7,460.64
5. Step 5: Solve for x
   x = 7,460.64/39.75
6. Step 6: Final answer
   x = 187.69