Finding the Third Proportional to 23,256 and 49,624

Step by Step Solution

1. Step 1: Write the proportion equation
   23,256 : 49,624 = 49,624 : x
2. Step 2: Convert to fraction form
   23,256/49,624 = 49,624/x
3. Step 3: Cross multiply
   23,256x = 49,624 × 49,624
4. Step 4: Simplify right side
   23,256x = 2,462,541,376
5. Step 5: Solve for x
   x = 2,462,541,376/23,256
6. Step 6: Final answer
   x = 105,888.43