Finding the Third Proportional to 4,782.75 and 7,016.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,782.75 : 7,016.63 = 7,016.63 : x
2. Step 2: Convert to fraction form
   4,782.75/7,016.63 = 7,016.63/x
3. Step 3: Cross multiply
   4,782.75x = 7,016.63 × 7,016.63
4. Step 4: Simplify right side
   4,782.75x = 49,233,026.39
5. Step 5: Solve for x
   x = 49,233,026.39/4,782.75
6. Step 6: Final answer
   x = 10,293.87