Finding the Third Proportional to 2,890.69 and 5,004.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,890.69 : 5,004.56 = 5,004.56 : x
2. Step 2: Convert to fraction form
   2,890.69/5,004.56 = 5,004.56/x
3. Step 3: Cross multiply
   2,890.69x = 5,004.56 × 5,004.56
4. Step 4: Simplify right side
   2,890.69x = 25,045,645.82
5. Step 5: Solve for x
   x = 25,045,645.82/2,890.69
6. Step 6: Final answer
   x = 8,664.25