Finding the Third Proportional to 8,314 and 17,582

Step by Step Solution

1. Step 1: Write the proportion equation
   8,314 : 17,582 = 17,582 : x
2. Step 2: Convert to fraction form
   8,314/17,582 = 17,582/x
3. Step 3: Cross multiply
   8,314x = 17,582 × 17,582
4. Step 4: Simplify right side
   8,314x = 309,126,724
5. Step 5: Solve for x
   x = 309,126,724/8,314
6. Step 6: Final answer
   x = 37,181.47