Finding the Third Proportional to 13,584 and 17,802

Step by Step Solution

1. Step 1: Write the proportion equation
   13,584 : 17,802 = 17,802 : x
2. Step 2: Convert to fraction form
   13,584/17,802 = 17,802/x
3. Step 3: Cross multiply
   13,584x = 17,802 × 17,802
4. Step 4: Simplify right side
   13,584x = 316,911,204
5. Step 5: Solve for x
   x = 316,911,204/13,584
6. Step 6: Final answer
   x = 23,329.74