Finding the Third Proportional to 4,645.75 and 10,020.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,645.75 : 10,020.25 = 10,020.25 : x
2. Step 2: Convert to fraction form
   4,645.75/10,020.25 = 10,020.25/x
3. Step 3: Cross multiply
   4,645.75x = 10,020.25 × 10,020.25
4. Step 4: Simplify right side
   4,645.75x = 100,405,410.06
5. Step 5: Solve for x
   x = 100,405,410.06/4,645.75
6. Step 6: Final answer
   x = 21,612.31