Finding the Third Proportional to 3,477.94 and 4,986.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,477.94 : 4,986.56 = 4,986.56 : x
2. Step 2: Convert to fraction form
   3,477.94/4,986.56 = 4,986.56/x
3. Step 3: Cross multiply
   3,477.94x = 4,986.56 × 4,986.56
4. Step 4: Simplify right side
   3,477.94x = 24,865,805.57
5. Step 5: Solve for x
   x = 24,865,805.57/3,477.94
6. Step 6: Final answer
   x = 7,149.58