Finding the Third Proportional to 16,584 and 23,619

Step by Step Solution

1. Step 1: Write the proportion equation
   16,584 : 23,619 = 23,619 : x
2. Step 2: Convert to fraction form
   16,584/23,619 = 23,619/x
3. Step 3: Cross multiply
   16,584x = 23,619 × 23,619
4. Step 4: Simplify right side
   16,584x = 557,857,161
5. Step 5: Solve for x
   x = 557,857,161/16,584
6. Step 6: Final answer
   x = 33,638.28