Finding the Third Proportional to 9,976 and 16,564

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976 : 16,564 = 16,564 : x
2. Step 2: Convert to fraction form
   9,976/16,564 = 16,564/x
3. Step 3: Cross multiply
   9,976x = 16,564 × 16,564
4. Step 4: Simplify right side
   9,976x = 274,366,096
5. Step 5: Solve for x
   x = 274,366,096/9,976
6. Step 6: Final answer
   x = 27,502.62