Finding the Third Proportional to 9,536 and 17,008

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 17,008 = 17,008 : x
2. Step 2: Convert to fraction form
   9,536/17,008 = 17,008/x
3. Step 3: Cross multiply
   9,536x = 17,008 × 17,008
4. Step 4: Simplify right side
   9,536x = 289,272,064
5. Step 5: Solve for x
   x = 289,272,064/9,536
6. Step 6: Final answer
   x = 30,334.74