Finding the Third Proportional to 2,890.69 and 5,151.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,890.69 : 5,151.09 = 5,151.09 : x
2. Step 2: Convert to fraction form
   2,890.69/5,151.09 = 5,151.09/x
3. Step 3: Cross multiply
   2,890.69x = 5,151.09 × 5,151.09
4. Step 4: Simplify right side
   2,890.69x = 26,533,766.82
5. Step 5: Solve for x
   x = 26,533,766.82/2,890.69
6. Step 6: Final answer
   x = 9,179.05