Finding the Third Proportional to 10.50 and 19.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10.50 : 19.81 = 19.81 : x
2. Step 2: Convert to fraction form
   10.50/19.81 = 19.81/x
3. Step 3: Cross multiply
   10.50x = 19.81 × 19.81
4. Step 4: Simplify right side
   10.50x = 392.54
5. Step 5: Solve for x
   x = 392.54/10.50
6. Step 6: Final answer
   x = 37.38