Finding the Third Proportional to 11,225.50 and 23,666

Step by Step Solution

1. Step 1: Write the proportion equation
   11,225.50 : 23,666 = 23,666 : x
2. Step 2: Convert to fraction form
   11,225.50/23,666 = 23,666/x
3. Step 3: Cross multiply
   11,225.50x = 23,666 × 23,666
4. Step 4: Simplify right side
   11,225.50x = 560,079,556
5. Step 5: Solve for x
   x = 560,079,556/11,225.50
6. Step 6: Final answer
   x = 49,893.51