Finding the Third Proportional to 38.29 and 57.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38.29 : 57.69 = 57.69 : x
2. Step 2: Convert to fraction form
   38.29/57.69 = 57.69/x
3. Step 3: Cross multiply
   38.29x = 57.69 × 57.69
4. Step 4: Simplify right side
   38.29x = 3,328.30
5. Step 5: Solve for x
   x = 3,328.30/38.29
6. Step 6: Final answer
   x = 86.93