Finding the Third Proportional to 19.62 and 46.83

Step by Step Solution

1. Step 1: Write the proportion equation
   19.62 : 46.83 = 46.83 : x
2. Step 2: Convert to fraction form
   19.62/46.83 = 46.83/x
3. Step 3: Cross multiply
   19.62x = 46.83 × 46.83
4. Step 4: Simplify right side
   19.62x = 2,192.87
5. Step 5: Solve for x
   x = 2,192.87/19.62
6. Step 6: Final answer
   x = 111.78