Finding the Third Proportional to 24.05 and 57.59

Step by Step Solution

1. Step 1: Write the proportion equation
   24.05 : 57.59 = 57.59 : x
2. Step 2: Convert to fraction form
   24.05/57.59 = 57.59/x
3. Step 3: Cross multiply
   24.05x = 57.59 × 57.59
4. Step 4: Simplify right side
   24.05x = 3,316.14
5. Step 5: Solve for x
   x = 3,316.14/24.05
6. Step 6: Final answer
   x = 137.90