Finding the Third Proportional to 57.67 and 89.70

Step by Step Solution

1. Step 1: Write the proportion equation
   57.67 : 89.70 = 89.70 : x
2. Step 2: Convert to fraction form
   57.67/89.70 = 89.70/x
3. Step 3: Cross multiply
   57.67x = 89.70 × 89.70
4. Step 4: Simplify right side
   57.67x = 8,046.30
5. Step 5: Solve for x
   x = 8,046.30/57.67
6. Step 6: Final answer
   x = 139.54