Finding the Third Proportional to 3,812 and 10,298

Step by Step Solution

1. Step 1: Write the proportion equation
   3,812 : 10,298 = 10,298 : x
2. Step 2: Convert to fraction form
   3,812/10,298 = 10,298/x
3. Step 3: Cross multiply
   3,812x = 10,298 × 10,298
4. Step 4: Simplify right side
   3,812x = 106,048,804
5. Step 5: Solve for x
   x = 106,048,804/3,812
6. Step 6: Final answer
   x = 27,819.73