Finding the Third Proportional to 4,648.50 and 10,334.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,648.50 : 10,334.25 = 10,334.25 : x
2. Step 2: Convert to fraction form
   4,648.50/10,334.25 = 10,334.25/x
3. Step 3: Cross multiply
   4,648.50x = 10,334.25 × 10,334.25
4. Step 4: Simplify right side
   4,648.50x = 106,796,723.06
5. Step 5: Solve for x
   x = 106,796,723.06/4,648.50
6. Step 6: Final answer
   x = 22,974.45