Finding the Third Proportional to 57.66 and 89.37

Step by Step Solution

1. Step 1: Write the proportion equation
   57.66 : 89.37 = 89.37 : x
2. Step 2: Convert to fraction form
   57.66/89.37 = 89.37/x
3. Step 3: Cross multiply
   57.66x = 89.37 × 89.37
4. Step 4: Simplify right side
   57.66x = 7,986.49
5. Step 5: Solve for x
   x = 7,986.49/57.66
6. Step 6: Final answer
   x = 138.52