Finding the Third Proportional to 11,592 and 20,880

Step by Step Solution

1. Step 1: Write the proportion equation
   11,592 : 20,880 = 20,880 : x
2. Step 2: Convert to fraction form
   11,592/20,880 = 20,880/x
3. Step 3: Cross multiply
   11,592x = 20,880 × 20,880
4. Step 4: Simplify right side
   11,592x = 435,974,400
5. Step 5: Solve for x
   x = 435,974,400/11,592
6. Step 6: Final answer
   x = 37,609.94