Finding the Third Proportional to 10,224 and 23,814

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 23,814 = 23,814 : x
2. Step 2: Convert to fraction form
   10,224/23,814 = 23,814/x
3. Step 3: Cross multiply
   10,224x = 23,814 × 23,814
4. Step 4: Simplify right side
   10,224x = 567,106,596
5. Step 5: Solve for x
   x = 567,106,596/10,224
6. Step 6: Final answer
   x = 55,468.17