Finding the Third Proportional to 16,824 and 23,382

Step by Step Solution

1. Step 1: Write the proportion equation
   16,824 : 23,382 = 23,382 : x
2. Step 2: Convert to fraction form
   16,824/23,382 = 23,382/x
3. Step 3: Cross multiply
   16,824x = 23,382 × 23,382
4. Step 4: Simplify right side
   16,824x = 546,717,924
5. Step 5: Solve for x
   x = 546,717,924/16,824
6. Step 6: Final answer
   x = 32,496.31