Finding the Third Proportional to 10,584 and 14,404

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 14,404 = 14,404 : x
2. Step 2: Convert to fraction form
   10,584/14,404 = 14,404/x
3. Step 3: Cross multiply
   10,584x = 14,404 × 14,404
4. Step 4: Simplify right side
   10,584x = 207,475,216
5. Step 5: Solve for x
   x = 207,475,216/10,584
6. Step 6: Final answer
   x = 19,602.72