Finding the Third Proportional to 25.06 and 38.69

Step by Step Solution

1. Step 1: Write the proportion equation
   25.06 : 38.69 = 38.69 : x
2. Step 2: Convert to fraction form
   25.06/38.69 = 38.69/x
3. Step 3: Cross multiply
   25.06x = 38.69 × 38.69
4. Step 4: Simplify right side
   25.06x = 1,496.72
5. Step 5: Solve for x
   x = 1,496.72/25.06
6. Step 6: Final answer
   x = 59.72