Finding the Third Proportional to 4,632.25 and 10,147.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,632.25 : 10,147.25 = 10,147.25 : x
2. Step 2: Convert to fraction form
   4,632.25/10,147.25 = 10,147.25/x
3. Step 3: Cross multiply
   4,632.25x = 10,147.25 × 10,147.25
4. Step 4: Simplify right side
   4,632.25x = 102,966,682.56
5. Step 5: Solve for x
   x = 102,966,682.56/4,632.25
6. Step 6: Final answer
   x = 22,228.22