Finding the Third Proportional to 19.50 and 34.13

Step by Step Solution

1. Step 1: Write the proportion equation
   19.50 : 34.13 = 34.13 : x
2. Step 2: Convert to fraction form
   19.50/34.13 = 34.13/x
3. Step 3: Cross multiply
   19.50x = 34.13 × 34.13
4. Step 4: Simplify right side
   19.50x = 1,164.52
5. Step 5: Solve for x
   x = 1,164.52/19.50
6. Step 6: Final answer
   x = 59.72