Finding the Third Proportional to 23,096 and 49,646

Step by Step Solution

1. Step 1: Write the proportion equation
   23,096 : 49,646 = 49,646 : x
2. Step 2: Convert to fraction form
   23,096/49,646 = 49,646/x
3. Step 3: Cross multiply
   23,096x = 49,646 × 49,646
4. Step 4: Simplify right side
   23,096x = 2,464,725,316
5. Step 5: Solve for x
   x = 2,464,725,316/23,096
6. Step 6: Final answer
   x = 106,716.54