Finding the Third Proportional to 10,270 and 19,082

Step by Step Solution

1. Step 1: Write the proportion equation
   10,270 : 19,082 = 19,082 : x
2. Step 2: Convert to fraction form
   10,270/19,082 = 19,082/x
3. Step 3: Cross multiply
   10,270x = 19,082 × 19,082
4. Step 4: Simplify right side
   10,270x = 364,122,724
5. Step 5: Solve for x
   x = 364,122,724/10,270
6. Step 6: Final answer
   x = 35,454.99