Finding the Third Proportional to 19.50 and 52.59

Step by Step Solution

1. Step 1: Write the proportion equation
   19.50 : 52.59 = 52.59 : x
2. Step 2: Convert to fraction form
   19.50/52.59 = 52.59/x
3. Step 3: Cross multiply
   19.50x = 52.59 × 52.59
4. Step 4: Simplify right side
   19.50x = 2,766.10
5. Step 5: Solve for x
   x = 2,766.10/19.50
6. Step 6: Final answer
   x = 141.85