Finding the Third Proportional to 10,584 and 16,215

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 16,215 = 16,215 : x
2. Step 2: Convert to fraction form
   10,584/16,215 = 16,215/x
3. Step 3: Cross multiply
   10,584x = 16,215 × 16,215
4. Step 4: Simplify right side
   10,584x = 262,926,225
5. Step 5: Solve for x
   x = 262,926,225/10,584
6. Step 6: Final answer
   x = 24,841.86