Finding the Third Proportional to 23,328 and 49,536

Step by Step Solution

1. Step 1: Write the proportion equation
   23,328 : 49,536 = 49,536 : x
2. Step 2: Convert to fraction form
   23,328/49,536 = 49,536/x
3. Step 3: Cross multiply
   23,328x = 49,536 × 49,536
4. Step 4: Simplify right side
   23,328x = 2,453,815,296
5. Step 5: Solve for x
   x = 2,453,815,296/23,328
6. Step 6: Final answer
   x = 105,187.56