Finding the Third Proportional to 9,976 and 17,684

Step by Step Solution

1. Step 1: Write the proportion equation
   9,976 : 17,684 = 17,684 : x
2. Step 2: Convert to fraction form
   9,976/17,684 = 17,684/x
3. Step 3: Cross multiply
   9,976x = 17,684 × 17,684
4. Step 4: Simplify right side
   9,976x = 312,723,856
5. Step 5: Solve for x
   x = 312,723,856/9,976
6. Step 6: Final answer
   x = 31,347.62