Finding the Third Proportional to 1,423.69 and 2,065.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,423.69 : 2,065.69 = 2,065.69 : x
2. Step 2: Convert to fraction form
   1,423.69/2,065.69 = 2,065.69/x
3. Step 3: Cross multiply
   1,423.69x = 2,065.69 × 2,065.69
4. Step 4: Simplify right side
   1,423.69x = 4,267,064.85
5. Step 5: Solve for x
   x = 4,267,064.85/1,423.69
6. Step 6: Final answer
   x = 2,997.19