Finding the Third Proportional to 1,419.61 and 2,155.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.61 : 2,155.04 = 2,155.04 : x
2. Step 2: Convert to fraction form
   1,419.61/2,155.04 = 2,155.04/x
3. Step 3: Cross multiply
   1,419.61x = 2,155.04 × 2,155.04
4. Step 4: Simplify right side
   1,419.61x = 4,644,210.20
5. Step 5: Solve for x
   x = 4,644,210.20/1,419.61
6. Step 6: Final answer
   x = 3,271.47