Finding the Third Proportional to 10,182 and 19,116

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182 : 19,116 = 19,116 : x
2. Step 2: Convert to fraction form
   10,182/19,116 = 19,116/x
3. Step 3: Cross multiply
   10,182x = 19,116 × 19,116
4. Step 4: Simplify right side
   10,182x = 365,421,456
5. Step 5: Solve for x
   x = 365,421,456/10,182
6. Step 6: Final answer
   x = 35,888.97