Finding the Third Proportional to 4,546.97 and 7,012.83

Step by Step Solution

1. Step 1: Write the proportion equation
   4,546.97 : 7,012.83 = 7,012.83 : x
2. Step 2: Convert to fraction form
   4,546.97/7,012.83 = 7,012.83/x
3. Step 3: Cross multiply
   4,546.97x = 7,012.83 × 7,012.83
4. Step 4: Simplify right side
   4,546.97x = 49,179,758.31
5. Step 5: Solve for x
   x = 49,179,758.31/4,546.97
6. Step 6: Final answer
   x = 10,815.94