Finding the Third Proportional to 6,478.94 and 10,004.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,478.94 : 10,004.75 = 10,004.75 : x
2. Step 2: Convert to fraction form
   6,478.94/10,004.75 = 10,004.75/x
3. Step 3: Cross multiply
   6,478.94x = 10,004.75 × 10,004.75
4. Step 4: Simplify right side
   6,478.94x = 100,095,022.56
5. Step 5: Solve for x
   x = 100,095,022.56/6,478.94
6. Step 6: Final answer
   x = 15,449.30