Finding the Third Proportional to 10,829 and 23,614

Step by Step Solution

1. Step 1: Write the proportion equation
   10,829 : 23,614 = 23,614 : x
2. Step 2: Convert to fraction form
   10,829/23,614 = 23,614/x
3. Step 3: Cross multiply
   10,829x = 23,614 × 23,614
4. Step 4: Simplify right side
   10,829x = 557,620,996
5. Step 5: Solve for x
   x = 557,620,996/10,829
6. Step 6: Final answer
   x = 51,493.30