Finding the Third Proportional to 10,224 and 22,368

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 22,368 = 22,368 : x
2. Step 2: Convert to fraction form
   10,224/22,368 = 22,368/x
3. Step 3: Cross multiply
   10,224x = 22,368 × 22,368
4. Step 4: Simplify right side
   10,224x = 500,327,424
5. Step 5: Solve for x
   x = 500,327,424/10,224
6. Step 6: Final answer
   x = 48,936.56