Finding the Third Proportional to 11,077 and 16,584

Step by Step Solution

1. Step 1: Write the proportion equation
   11,077 : 16,584 = 16,584 : x
2. Step 2: Convert to fraction form
   11,077/16,584 = 16,584/x
3. Step 3: Cross multiply
   11,077x = 16,584 × 16,584
4. Step 4: Simplify right side
   11,077x = 275,029,056
5. Step 5: Solve for x
   x = 275,029,056/11,077
6. Step 6: Final answer
   x = 24,828.84