Finding the Third Proportional to 11,005 and 23,590

Step by Step Solution

1. Step 1: Write the proportion equation
   11,005 : 23,590 = 23,590 : x
2. Step 2: Convert to fraction form
   11,005/23,590 = 23,590/x
3. Step 3: Cross multiply
   11,005x = 23,590 × 23,590
4. Step 4: Simplify right side
   11,005x = 556,488,100
5. Step 5: Solve for x
   x = 556,488,100/11,005
6. Step 6: Final answer
   x = 50,566.84