Finding the Third Proportional to 11,666 and 24,556

Step by Step Solution

1. Step 1: Write the proportion equation
   11,666 : 24,556 = 24,556 : x
2. Step 2: Convert to fraction form
   11,666/24,556 = 24,556/x
3. Step 3: Cross multiply
   11,666x = 24,556 × 24,556
4. Step 4: Simplify right side
   11,666x = 602,997,136
5. Step 5: Solve for x
   x = 602,997,136/11,666
6. Step 6: Final answer
   x = 51,688.42