Finding the Third Proportional to 9,582 and 12,819

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582 : 12,819 = 12,819 : x
2. Step 2: Convert to fraction form
   9,582/12,819 = 12,819/x
3. Step 3: Cross multiply
   9,582x = 12,819 × 12,819
4. Step 4: Simplify right side
   9,582x = 164,326,761
5. Step 5: Solve for x
   x = 164,326,761/9,582
6. Step 6: Final answer
   x = 17,149.53