Finding the Third Proportional to 1,604.50 and 2,420

Step by Step Solution

1. Step 1: Write the proportion equation
   1,604.50 : 2,420 = 2,420 : x
2. Step 2: Convert to fraction form
   1,604.50/2,420 = 2,420/x
3. Step 3: Cross multiply
   1,604.50x = 2,420 × 2,420
4. Step 4: Simplify right side
   1,604.50x = 5,856,400
5. Step 5: Solve for x
   x = 5,856,400/1,604.50
6. Step 6: Final answer
   x = 3,649.98