Finding the Third Proportional to 19.16 and 42.11

Step by Step Solution

1. Step 1: Write the proportion equation
   19.16 : 42.11 = 42.11 : x
2. Step 2: Convert to fraction form
   19.16/42.11 = 42.11/x
3. Step 3: Cross multiply
   19.16x = 42.11 × 42.11
4. Step 4: Simplify right side
   19.16x = 1,773.20
5. Step 5: Solve for x
   x = 1,773.20/19.16
6. Step 6: Final answer
   x = 92.57