Finding the Third Proportional to 10,224 and 21,381.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 21,381.75 = 21,381.75 : x
2. Step 2: Convert to fraction form
   10,224/21,381.75 = 21,381.75/x
3. Step 3: Cross multiply
   10,224x = 21,381.75 × 21,381.75
4. Step 4: Simplify right side
   10,224x = 457,179,233.06
5. Step 5: Solve for x
   x = 457,179,233.06/10,224
6. Step 6: Final answer
   x = 44,716.28