Finding the Third Proportional to 22,872 and 49,152

Step by Step Solution

1. Step 1: Write the proportion equation
   22,872 : 49,152 = 49,152 : x
2. Step 2: Convert to fraction form
   22,872/49,152 = 49,152/x
3. Step 3: Cross multiply
   22,872x = 49,152 × 49,152
4. Step 4: Simplify right side
   22,872x = 2,415,919,104
5. Step 5: Solve for x
   x = 2,415,919,104/22,872
6. Step 6: Final answer
   x = 105,627.80