Finding the Third Proportional to 2,709.14 and 5,914.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,709.14 : 5,914.41 = 5,914.41 : x
2. Step 2: Convert to fraction form
   2,709.14/5,914.41 = 5,914.41/x
3. Step 3: Cross multiply
   2,709.14x = 5,914.41 × 5,914.41
4. Step 4: Simplify right side
   2,709.14x = 34,980,201.29
5. Step 5: Solve for x
   x = 34,980,201.29/2,709.14
6. Step 6: Final answer
   x = 12,911.92