Finding the Third Proportional to 103.50 and 165.47

Step by Step Solution

1. Step 1: Write the proportion equation
   103.50 : 165.47 = 165.47 : x
2. Step 2: Convert to fraction form
   103.50/165.47 = 165.47/x
3. Step 3: Cross multiply
   103.50x = 165.47 × 165.47
4. Step 4: Simplify right side
   103.50x = 27,379.91
5. Step 5: Solve for x
   x = 27,379.91/103.50
6. Step 6: Final answer
   x = 264.54