Finding the Third Proportional to 16,830 and 23,582

Step by Step Solution

1. Step 1: Write the proportion equation
   16,830 : 23,582 = 23,582 : x
2. Step 2: Convert to fraction form
   16,830/23,582 = 23,582/x
3. Step 3: Cross multiply
   16,830x = 23,582 × 23,582
4. Step 4: Simplify right side
   16,830x = 556,110,724
5. Step 5: Solve for x
   x = 556,110,724/16,830
6. Step 6: Final answer
   x = 33,042.82