Finding the Third Proportional to 8,322 and 17,583

Step by Step Solution

1. Step 1: Write the proportion equation
   8,322 : 17,583 = 17,583 : x
2. Step 2: Convert to fraction form
   8,322/17,583 = 17,583/x
3. Step 3: Cross multiply
   8,322x = 17,583 × 17,583
4. Step 4: Simplify right side
   8,322x = 309,161,889
5. Step 5: Solve for x
   x = 309,161,889/8,322
6. Step 6: Final answer
   x = 37,149.95