Finding the Third Proportional to 1,020.41 and 2,410.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.41 : 2,410.07 = 2,410.07 : x
2. Step 2: Convert to fraction form
   1,020.41/2,410.07 = 2,410.07/x
3. Step 3: Cross multiply
   1,020.41x = 2,410.07 × 2,410.07
4. Step 4: Simplify right side
   1,020.41x = 5,808,420.08
5. Step 5: Solve for x
   x = 5,808,420.08/1,020.41
6. Step 6: Final answer
   x = 5,692.24