Finding the Third Proportional to 19.50 and 29.67

Step by Step Solution

1. Step 1: Write the proportion equation
   19.50 : 29.67 = 29.67 : x
2. Step 2: Convert to fraction form
   19.50/29.67 = 29.67/x
3. Step 3: Cross multiply
   19.50x = 29.67 × 29.67
4. Step 4: Simplify right side
   19.50x = 880.42
5. Step 5: Solve for x
   x = 880.42/19.50
6. Step 6: Final answer
   x = 45.15