Finding the Third Proportional to 38.38 and 53.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38.38 : 53.88 = 53.88 : x
2. Step 2: Convert to fraction form
   38.38/53.88 = 53.88/x
3. Step 3: Cross multiply
   38.38x = 53.88 × 53.88
4. Step 4: Simplify right side
   38.38x = 2,902.52
5. Step 5: Solve for x
   x = 2,902.52/38.38
6. Step 6: Final answer
   x = 75.64