Finding the Third Proportional to 9,582 and 17,112

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582 : 17,112 = 17,112 : x
2. Step 2: Convert to fraction form
   9,582/17,112 = 17,112/x
3. Step 3: Cross multiply
   9,582x = 17,112 × 17,112
4. Step 4: Simplify right side
   9,582x = 292,820,544
5. Step 5: Solve for x
   x = 292,820,544/9,582
6. Step 6: Final answer
   x = 30,559.44