Finding the Third Proportional to 10,914 and 23,828

Step by Step Solution

1. Step 1: Write the proportion equation
   10,914 : 23,828 = 23,828 : x
2. Step 2: Convert to fraction form
   10,914/23,828 = 23,828/x
3. Step 3: Cross multiply
   10,914x = 23,828 × 23,828
4. Step 4: Simplify right side
   10,914x = 567,773,584
5. Step 5: Solve for x
   x = 567,773,584/10,914
6. Step 6: Final answer
   x = 52,022.50