Finding the Third Proportional to 10,224 and 22,268.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 22,268.25 = 22,268.25 : x
2. Step 2: Convert to fraction form
   10,224/22,268.25 = 22,268.25/x
3. Step 3: Cross multiply
   10,224x = 22,268.25 × 22,268.25
4. Step 4: Simplify right side
   10,224x = 495,874,958.06
5. Step 5: Solve for x
   x = 495,874,958.06/10,224
6. Step 6: Final answer
   x = 48,501.07