Finding the Third Proportional to 19.73 and 42.14

Step by Step Solution

1. Step 1: Write the proportion equation
   19.73 : 42.14 = 42.14 : x
2. Step 2: Convert to fraction form
   19.73/42.14 = 42.14/x
3. Step 3: Cross multiply
   19.73x = 42.14 × 42.14
4. Step 4: Simplify right side
   19.73x = 1,775.83
5. Step 5: Solve for x
   x = 1,775.83/19.73
6. Step 6: Final answer
   x = 89.99