Finding the Third Proportional to 57.38 and 89.16

Step by Step Solution

1. Step 1: Write the proportion equation
   57.38 : 89.16 = 89.16 : x
2. Step 2: Convert to fraction form
   57.38/89.16 = 89.16/x
3. Step 3: Cross multiply
   57.38x = 89.16 × 89.16
4. Step 4: Simplify right side
   57.38x = 7,948.84
5. Step 5: Solve for x
   x = 7,948.84/57.38
6. Step 6: Final answer
   x = 138.54