Finding the Third Proportional to 1,640.25 and 2,419.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,640.25 : 2,419.88 = 2,419.88 : x
2. Step 2: Convert to fraction form
   1,640.25/2,419.88 = 2,419.88/x
3. Step 3: Cross multiply
   1,640.25x = 2,419.88 × 2,419.88
4. Step 4: Simplify right side
   1,640.25x = 5,855,795.02
5. Step 5: Solve for x
   x = 5,855,795.02/1,640.25
6. Step 6: Final answer
   x = 3,570.06