Finding the Third Proportional to 8,046 and 17,327

Step by Step Solution

1. Step 1: Write the proportion equation
   8,046 : 17,327 = 17,327 : x
2. Step 2: Convert to fraction form
   8,046/17,327 = 17,327/x
3. Step 3: Cross multiply
   8,046x = 17,327 × 17,327
4. Step 4: Simplify right side
   8,046x = 300,224,929
5. Step 5: Solve for x
   x = 300,224,929/8,046
6. Step 6: Final answer
   x = 37,313.56