Finding the Third Proportional to 4,456.50 and 10,290.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,456.50 : 10,290.75 = 10,290.75 : x
2. Step 2: Convert to fraction form
   4,456.50/10,290.75 = 10,290.75/x
3. Step 3: Cross multiply
   4,456.50x = 10,290.75 × 10,290.75
4. Step 4: Simplify right side
   4,456.50x = 105,899,535.56
5. Step 5: Solve for x
   x = 105,899,535.56/4,456.50
6. Step 6: Final answer
   x = 23,762.94