Finding the Third Proportional to 10,976 and 17,674

Step by Step Solution

1. Step 1: Write the proportion equation
   10,976 : 17,674 = 17,674 : x
2. Step 2: Convert to fraction form
   10,976/17,674 = 17,674/x
3. Step 3: Cross multiply
   10,976x = 17,674 × 17,674
4. Step 4: Simplify right side
   10,976x = 312,370,276
5. Step 5: Solve for x
   x = 312,370,276/10,976
6. Step 6: Final answer
   x = 28,459.39