Finding the Third Proportional to 89.70 and 115.33

Step by Step Solution

1. Step 1: Write the proportion equation
   89.70 : 115.33 = 115.33 : x
2. Step 2: Convert to fraction form
   89.70/115.33 = 115.33/x
3. Step 3: Cross multiply
   89.70x = 115.33 × 115.33
4. Step 4: Simplify right side
   89.70x = 13,301.03
5. Step 5: Solve for x
   x = 13,301.03/89.70
6. Step 6: Final answer
   x = 148.28