Finding the Third Proportional to 10,289.25 and 21,962.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,289.25 : 21,962.25 = 21,962.25 : x
2. Step 2: Convert to fraction form
   10,289.25/21,962.25 = 21,962.25/x
3. Step 3: Cross multiply
   10,289.25x = 21,962.25 × 21,962.25
4. Step 4: Simplify right side
   10,289.25x = 482,340,425.06
5. Step 5: Solve for x
   x = 482,340,425.06/10,289.25
6. Step 6: Final answer
   x = 46,878.09