Finding the Third Proportional to 89.54 and 138.27

Step by Step Solution

1. Step 1: Write the proportion equation
   89.54 : 138.27 = 138.27 : x
2. Step 2: Convert to fraction form
   89.54/138.27 = 138.27/x
3. Step 3: Cross multiply
   89.54x = 138.27 × 138.27
4. Step 4: Simplify right side
   89.54x = 19,118.46
5. Step 5: Solve for x
   x = 19,118.46/89.54
6. Step 6: Final answer
   x = 213.51