Finding the Third Proportional to 2,892.23 and 4,500.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.23 : 4,500.42 = 4,500.42 : x
2. Step 2: Convert to fraction form
   2,892.23/4,500.42 = 4,500.42/x
3. Step 3: Cross multiply
   2,892.23x = 4,500.42 × 4,500.42
4. Step 4: Simplify right side
   2,892.23x = 20,253,797.05
5. Step 5: Solve for x
   x = 20,253,797.05/2,892.23
6. Step 6: Final answer
   x = 7,002.82