Finding the Third Proportional to 19.50 and 42.94

Step by Step Solution

1. Step 1: Write the proportion equation
   19.50 : 42.94 = 42.94 : x
2. Step 2: Convert to fraction form
   19.50/42.94 = 42.94/x
3. Step 3: Cross multiply
   19.50x = 42.94 × 42.94
4. Step 4: Simplify right side
   19.50x = 1,843.63
5. Step 5: Solve for x
   x = 1,843.63/19.50
6. Step 6: Final answer
   x = 94.55