Finding the Third Proportional to 33,976 and 69,462

Step by Step Solution

1. Step 1: Write the proportion equation
   33,976 : 69,462 = 69,462 : x
2. Step 2: Convert to fraction form
   33,976/69,462 = 69,462/x
3. Step 3: Cross multiply
   33,976x = 69,462 × 69,462
4. Step 4: Simplify right side
   33,976x = 4,824,969,444
5. Step 5: Solve for x
   x = 4,824,969,444/33,976
6. Step 6: Final answer
   x = 142,011.11