Finding the Third Proportional to 47,976 and 72,634

Step by Step Solution

1. Step 1: Write the proportion equation
   47,976 : 72,634 = 72,634 : x
2. Step 2: Convert to fraction form
   47,976/72,634 = 72,634/x
3. Step 3: Cross multiply
   47,976x = 72,634 × 72,634
4. Step 4: Simplify right side
   47,976x = 5,275,697,956
5. Step 5: Solve for x
   x = 5,275,697,956/47,976
6. Step 6: Final answer
   x = 109,965.36