Finding the Third Proportional to 11,380 and 17,582

Step by Step Solution

1. Step 1: Write the proportion equation
   11,380 : 17,582 = 17,582 : x
2. Step 2: Convert to fraction form
   11,380/17,582 = 17,582/x
3. Step 3: Cross multiply
   11,380x = 17,582 × 17,582
4. Step 4: Simplify right side
   11,380x = 309,126,724
5. Step 5: Solve for x
   x = 309,126,724/11,380
6. Step 6: Final answer
   x = 27,164.04