Finding the Third Proportional to 11,488 and 16,590

Step by Step Solution

1. Step 1: Write the proportion equation
   11,488 : 16,590 = 16,590 : x
2. Step 2: Convert to fraction form
   11,488/16,590 = 16,590/x
3. Step 3: Cross multiply
   11,488x = 16,590 × 16,590
4. Step 4: Simplify right side
   11,488x = 275,228,100
5. Step 5: Solve for x
   x = 275,228,100/11,488
6. Step 6: Final answer
   x = 23,957.88