Finding the Third Proportional to 42 and 59

Step by Step Solution

1. Step 1: Write the proportion equation
   42 : 59 = 59 : x
2. Step 2: Convert to fraction form
   42/59 = 59/x
3. Step 3: Cross multiply
   42x = 59 × 59
4. Step 4: Simplify right side
   42x = 3,481
5. Step 5: Solve for x
   x = 3,481/42
6. Step 6: Final answer
   x = 82.88