Finding the Third Proportional to 89.69 and 138.11

Step by Step Solution

1. Step 1: Write the proportion equation
   89.69 : 138.11 = 138.11 : x
2. Step 2: Convert to fraction form
   89.69/138.11 = 138.11/x
3. Step 3: Cross multiply
   89.69x = 138.11 × 138.11
4. Step 4: Simplify right side
   89.69x = 19,074.20
5. Step 5: Solve for x
   x = 19,074.20/89.69
6. Step 6: Final answer
   x = 212.67