Finding the Third Proportional to 29.62 and 42.59

Step by Step Solution

1. Step 1: Write the proportion equation
   29.62 : 42.59 = 42.59 : x
2. Step 2: Convert to fraction form
   29.62/42.59 = 42.59/x
3. Step 3: Cross multiply
   29.62x = 42.59 × 42.59
4. Step 4: Simplify right side
   29.62x = 1,813.52
5. Step 5: Solve for x
   x = 1,813.52/29.62
6. Step 6: Final answer
   x = 61.22