Finding the Third Proportional to 11.63 and 16.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11.63 : 16.50 = 16.50 : x
2. Step 2: Convert to fraction form
   11.63/16.50 = 16.50/x
3. Step 3: Cross multiply
   11.63x = 16.50 × 16.50
4. Step 4: Simplify right side
   11.63x = 272.25
5. Step 5: Solve for x
   x = 272.25/11.63
6. Step 6: Final answer
   x = 23.42