Finding the Third Proportional to 12,006 and 17,884

Step by Step Solution

1. Step 1: Write the proportion equation
   12,006 : 17,884 = 17,884 : x
2. Step 2: Convert to fraction form
   12,006/17,884 = 17,884/x
3. Step 3: Cross multiply
   12,006x = 17,884 × 17,884
4. Step 4: Simplify right side
   12,006x = 319,837,456
5. Step 5: Solve for x
   x = 319,837,456/12,006
6. Step 6: Final answer
   x = 26,639.80