Finding the Third Proportional to 11.63 and 19.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11.63 : 19.69 = 19.69 : x
2. Step 2: Convert to fraction form
   11.63/19.69 = 19.69/x
3. Step 3: Cross multiply
   11.63x = 19.69 × 19.69
4. Step 4: Simplify right side
   11.63x = 387.60
5. Step 5: Solve for x
   x = 387.60/11.63
6. Step 6: Final answer
   x = 33.34