Finding the Third Proportional to 49,680 and 76,753

Step by Step Solution

1. Step 1: Write the proportion equation
   49,680 : 76,753 = 76,753 : x
2. Step 2: Convert to fraction form
   49,680/76,753 = 76,753/x
3. Step 3: Cross multiply
   49,680x = 76,753 × 76,753
4. Step 4: Simplify right side
   49,680x = 5,891,023,009
5. Step 5: Solve for x
   x = 5,891,023,009/49,680
6. Step 6: Final answer
   x = 118,579.37