Finding the Third Proportional to 5,140.69 and 10,974.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,140.69 : 10,974.09 = 10,974.09 : x
2. Step 2: Convert to fraction form
   5,140.69/10,974.09 = 10,974.09/x
3. Step 3: Cross multiply
   5,140.69x = 10,974.09 × 10,974.09
4. Step 4: Simplify right side
   5,140.69x = 120,430,733.63
5. Step 5: Solve for x
   x = 120,430,733.63/5,140.69
6. Step 6: Final answer
   x = 23,426.97