Finding the Third Proportional to 10,027.50 and 20,298

Step by Step Solution

1. Step 1: Write the proportion equation
   10,027.50 : 20,298 = 20,298 : x
2. Step 2: Convert to fraction form
   10,027.50/20,298 = 20,298/x
3. Step 3: Cross multiply
   10,027.50x = 20,298 × 20,298
4. Step 4: Simplify right side
   10,027.50x = 412,008,804
5. Step 5: Solve for x
   x = 412,008,804/10,027.50
6. Step 6: Final answer
   x = 41,087.89