Finding the Third Proportional to 10.50 and 19.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10.50 : 19.69 = 19.69 : x
2. Step 2: Convert to fraction form
   10.50/19.69 = 19.69/x
3. Step 3: Cross multiply
   10.50x = 19.69 × 19.69
4. Step 4: Simplify right side
   10.50x = 387.60
5. Step 5: Solve for x
   x = 387.60/10.50
6. Step 6: Final answer
   x = 36.91