Finding the Third Proportional to 1,423.69 and 2,155.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.69 : 2,155.22 = 2,155.22 : x
2. Step 2: Convert to fraction form
   1,423.69/2,155.22 = 2,155.22/x
3. Step 3: Cross multiply
   1,423.69x = 2,155.22 × 2,155.22
4. Step 4: Simplify right side
   1,423.69x = 4,644,967.86
5. Step 5: Solve for x
   x = 4,644,967.86/1,423.69
6. Step 6: Final answer
   x = 3,262.63