Finding the Third Proportional to 16,006 and 22,382

Step by Step Solution

1. Step 1: Write the proportion equation
   16,006 : 22,382 = 22,382 : x
2. Step 2: Convert to fraction form
   16,006/22,382 = 22,382/x
3. Step 3: Cross multiply
   16,006x = 22,382 × 22,382
4. Step 4: Simplify right side
   16,006x = 500,953,924
5. Step 5: Solve for x
   x = 500,953,924/16,006
6. Step 6: Final answer
   x = 31,297.88