Finding the Third Proportional to 9,976 and 16,584

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976 : 16,584 = 16,584 : x
2. Step 2: Convert to fraction form
   9,976/16,584 = 16,584/x
3. Step 3: Cross multiply
   9,976x = 16,584 × 16,584
4. Step 4: Simplify right side
   9,976x = 275,029,056
5. Step 5: Solve for x
   x = 275,029,056/9,976
6. Step 6: Final answer
   x = 27,569.07