Finding the Third Proportional to 42.75 and 59.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 59.50 = 59.50 : x
2. Step 2: Convert to fraction form
   42.75/59.50 = 59.50/x
3. Step 3: Cross multiply
   42.75x = 59.50 × 59.50
4. Step 4: Simplify right side
   42.75x = 3,540.25
5. Step 5: Solve for x
   x = 3,540.25/42.75
6. Step 6: Final answer
   x = 82.81