Finding the Third Proportional to 19.16 and 42.12

Step by Step Solution

1. Step 1: Write the proportion equation
   19.16 : 42.12 = 42.12 : x
2. Step 2: Convert to fraction form
   19.16/42.12 = 42.12/x
3. Step 3: Cross multiply
   19.16x = 42.12 × 42.12
4. Step 4: Simplify right side
   19.16x = 1,773.86
5. Step 5: Solve for x
   x = 1,773.86/19.16
6. Step 6: Final answer
   x = 92.58