Finding the Third Proportional to 23,095 and 49,349

Step by Step Solution

1. Step 1: Write the proportion equation
   23,095 : 49,349 = 49,349 : x
2. Step 2: Convert to fraction form
   23,095/49,349 = 49,349/x
3. Step 3: Cross multiply
   23,095x = 49,349 × 49,349
4. Step 4: Simplify right side
   23,095x = 2,435,323,801
5. Step 5: Solve for x
   x = 2,435,323,801/23,095
6. Step 6: Final answer
   x = 105,448.10