Finding the Third Proportional to 30.23 and 42.54

Step by Step Solution

1. Step 1: Write the proportion equation
   30.23 : 42.54 = 42.54 : x
2. Step 2: Convert to fraction form
   30.23/42.54 = 42.54/x
3. Step 3: Cross multiply
   30.23x = 42.54 × 42.54
4. Step 4: Simplify right side
   30.23x = 1,809.57
5. Step 5: Solve for x
   x = 1,809.57/30.23
6. Step 6: Final answer
   x = 59.85