Finding the Third Proportional to 9,582 and 19,182

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582 : 19,182 = 19,182 : x
2. Step 2: Convert to fraction form
   9,582/19,182 = 19,182/x
3. Step 3: Cross multiply
   9,582x = 19,182 × 19,182
4. Step 4: Simplify right side
   9,582x = 367,949,124
5. Step 5: Solve for x
   x = 367,949,124/9,582
6. Step 6: Final answer
   x = 38,400.03