Finding the Third Proportional to 4,789.75 and 7,002.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,789.75 : 7,002.25 = 7,002.25 : x
2. Step 2: Convert to fraction form
   4,789.75/7,002.25 = 7,002.25/x
3. Step 3: Cross multiply
   4,789.75x = 7,002.25 × 7,002.25
4. Step 4: Simplify right side
   4,789.75x = 49,031,505.06
5. Step 5: Solve for x
   x = 49,031,505.06/4,789.75
6. Step 6: Final answer
   x = 10,236.76