Finding the Third Proportional to 10,166 and 19,072

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166 : 19,072 = 19,072 : x
2. Step 2: Convert to fraction form
   10,166/19,072 = 19,072/x
3. Step 3: Cross multiply
   10,166x = 19,072 × 19,072
4. Step 4: Simplify right side
   10,166x = 363,741,184
5. Step 5: Solve for x
   x = 363,741,184/10,166
6. Step 6: Final answer
   x = 35,780.17