Finding the Third Proportional to 19.50 and 46.56

Step by Step Solution

1. Step 1: Write the proportion equation
   19.50 : 46.56 = 46.56 : x
2. Step 2: Convert to fraction form
   19.50/46.56 = 46.56/x
3. Step 3: Cross multiply
   19.50x = 46.56 × 46.56
4. Step 4: Simplify right side
   19.50x = 2,168.07
5. Step 5: Solve for x
   x = 2,168.07/19.50
6. Step 6: Final answer
   x = 111.18