Finding the Third Proportional to 10.50 and 19.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10.50 : 19.06 = 19.06 : x
2. Step 2: Convert to fraction form
   10.50/19.06 = 19.06/x
3. Step 3: Cross multiply
   10.50x = 19.06 × 19.06
4. Step 4: Simplify right side
   10.50x = 363.38
5. Step 5: Solve for x
   x = 363.38/10.50
6. Step 6: Final answer
   x = 34.61