Finding the Third Proportional to 9,582 and 21,006

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582 : 21,006 = 21,006 : x
2. Step 2: Convert to fraction form
   9,582/21,006 = 21,006/x
3. Step 3: Cross multiply
   9,582x = 21,006 × 21,006
4. Step 4: Simplify right side
   9,582x = 441,252,036
5. Step 5: Solve for x
   x = 441,252,036/9,582
6. Step 6: Final answer
   x = 46,050.10