Finding the Third Proportional to 103.63 and 165.31

Step by Step Solution

1. Step 1: Write the proportion equation
   103.63 : 165.31 = 165.31 : x
2. Step 2: Convert to fraction form
   103.63/165.31 = 165.31/x
3. Step 3: Cross multiply
   103.63x = 165.31 × 165.31
4. Step 4: Simplify right side
   103.63x = 27,328.22
5. Step 5: Solve for x
   x = 27,328.22/103.63
6. Step 6: Final answer
   x = 263.72