Finding the Third Proportional to 11,209 and 23,549

Step by Step Solution

1. Step 1: Write the proportion equation
   11,209 : 23,549 = 23,549 : x
2. Step 2: Convert to fraction form
   11,209/23,549 = 23,549/x
3. Step 3: Cross multiply
   11,209x = 23,549 × 23,549
4. Step 4: Simplify right side
   11,209x = 554,555,401
5. Step 5: Solve for x
   x = 554,555,401/11,209
6. Step 6: Final answer
   x = 49,474.12