Finding the Third Proportional to 100.14 and 165.48

Step by Step Solution

1. Step 1: Write the proportion equation
   100.14 : 165.48 = 165.48 : x
2. Step 2: Convert to fraction form
   100.14/165.48 = 165.48/x
3. Step 3: Cross multiply
   100.14x = 165.48 × 165.48
4. Step 4: Simplify right side
   100.14x = 27,383.79
5. Step 5: Solve for x
   x = 27,383.79/100.14
6. Step 6: Final answer
   x = 273.45