Finding the Third Proportional to 19.93 and 42.24

Step by Step Solution

1. Step 1: Write the proportion equation
   19.93 : 42.24 = 42.24 : x
2. Step 2: Convert to fraction form
   19.93/42.24 = 42.24/x
3. Step 3: Cross multiply
   19.93x = 42.24 × 42.24
4. Step 4: Simplify right side
   19.93x = 1,784.24
5. Step 5: Solve for x
   x = 1,784.24/19.93
6. Step 6: Final answer
   x = 89.51