Finding the Third Proportional to 8,036 and 17,272

Step by Step Solution

1. Step 1: Write the proportion equation
   8,036 : 17,272 = 17,272 : x
2. Step 2: Convert to fraction form
   8,036/17,272 = 17,272/x
3. Step 3: Cross multiply
   8,036x = 17,272 × 17,272
4. Step 4: Simplify right side
   8,036x = 298,321,984
5. Step 5: Solve for x
   x = 298,321,984/8,036
6. Step 6: Final answer
   x = 37,123.19