Finding the Third Proportional to 30.94 and 53.38

Step by Step Solution

1. Step 1: Write the proportion equation
   30.94 : 53.38 = 53.38 : x
2. Step 2: Convert to fraction form
   30.94/53.38 = 53.38/x
3. Step 3: Cross multiply
   30.94x = 53.38 × 53.38
4. Step 4: Simplify right side
   30.94x = 2,848.89
5. Step 5: Solve for x
   x = 2,848.89/30.94
6. Step 6: Final answer
   x = 92.09