Finding the Third Proportional to 2,802.94 and 6,147.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,802.94 : 6,147.56 = 6,147.56 : x
2. Step 2: Convert to fraction form
   2,802.94/6,147.56 = 6,147.56/x
3. Step 3: Cross multiply
   2,802.94x = 6,147.56 × 6,147.56
4. Step 4: Simplify right side
   2,802.94x = 37,792,524.69
5. Step 5: Solve for x
   x = 37,792,524.69/2,802.94
6. Step 6: Final answer
   x = 13,483.18