Finding the Third Proportional to 30,976 and 35,536

Step by Step Solution

1. Step 1: Write the proportion equation
   30,976 : 35,536 = 35,536 : x
2. Step 2: Convert to fraction form
   30,976/35,536 = 35,536/x
3. Step 3: Cross multiply
   30,976x = 35,536 × 35,536
4. Step 4: Simplify right side
   30,976x = 1,262,807,296
5. Step 5: Solve for x
   x = 1,262,807,296/30,976
6. Step 6: Final answer
   x = 40,767.28