Finding the Third Proportional to 43.66 and 57.59

Step by Step Solution

1. Step 1: Write the proportion equation
   43.66 : 57.59 = 57.59 : x
2. Step 2: Convert to fraction form
   43.66/57.59 = 57.59/x
3. Step 3: Cross multiply
   43.66x = 57.59 × 57.59
4. Step 4: Simplify right side
   43.66x = 3,316.14
5. Step 5: Solve for x
   x = 3,316.14/43.66
6. Step 6: Final answer
   x = 75.95