Finding the Third Proportional to 11,527 and 17,830

Step by Step Solution

1. Step 1: Write the proportion equation
   11,527 : 17,830 = 17,830 : x
2. Step 2: Convert to fraction form
   11,527/17,830 = 17,830/x
3. Step 3: Cross multiply
   11,527x = 17,830 × 17,830
4. Step 4: Simplify right side
   11,527x = 317,908,900
5. Step 5: Solve for x
   x = 317,908,900/11,527
6. Step 6: Final answer
   x = 27,579.50