Finding the Third Proportional to 10,614 and 24,666

Step by Step Solution

1. Step 1: Write the proportion equation
   10,614 : 24,666 = 24,666 : x
2. Step 2: Convert to fraction form
   10,614/24,666 = 24,666/x
3. Step 3: Cross multiply
   10,614x = 24,666 × 24,666
4. Step 4: Simplify right side
   10,614x = 608,411,556
5. Step 5: Solve for x
   x = 608,411,556/10,614
6. Step 6: Final answer
   x = 57,321.61