Finding the Third Proportional to 49,152 and 76,800

Step by Step Solution

1. Step 1: Write the proportion equation
   49,152 : 76,800 = 76,800 : x
2. Step 2: Convert to fraction form
   49,152/76,800 = 76,800/x
3. Step 3: Cross multiply
   49,152x = 76,800 × 76,800
4. Step 4: Simplify right side
   49,152x = 5,898,240,000
5. Step 5: Solve for x
   x = 5,898,240,000/49,152
6. Step 6: Final answer
   x = 120,000