Finding the Third Proportional to 9,170 and 17,386

Step by Step Solution

1. Step 1: Write the proportion equation
   9,170 : 17,386 = 17,386 : x
2. Step 2: Convert to fraction form
   9,170/17,386 = 17,386/x
3. Step 3: Cross multiply
   9,170x = 17,386 × 17,386
4. Step 4: Simplify right side
   9,170x = 302,272,996
5. Step 5: Solve for x
   x = 302,272,996/9,170
6. Step 6: Final answer
   x = 32,963.25