Finding the Third Proportional to 49,680 and 76,896

Step by Step Solution

1. Step 1: Write the proportion equation
   49,680 : 76,896 = 76,896 : x
2. Step 2: Convert to fraction form
   49,680/76,896 = 76,896/x
3. Step 3: Cross multiply
   49,680x = 76,896 × 76,896
4. Step 4: Simplify right side
   49,680x = 5,912,994,816
5. Step 5: Solve for x
   x = 5,912,994,816/49,680
6. Step 6: Final answer
   x = 119,021.63