Finding the Third Proportional to 4,789.13 and 7,015.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,789.13 : 7,015.78 = 7,015.78 : x
2. Step 2: Convert to fraction form
   4,789.13/7,015.78 = 7,015.78/x
3. Step 3: Cross multiply
   4,789.13x = 7,015.78 × 7,015.78
4. Step 4: Simplify right side
   4,789.13x = 49,221,186.55
5. Step 5: Solve for x
   x = 49,221,186.55/4,789.13
6. Step 6: Final answer
   x = 10,277.70