Finding the Third Proportional to 23,458 and 49,345

Step by Step Solution

1. Step 1: Write the proportion equation
   23,458 : 49,345 = 49,345 : x
2. Step 2: Convert to fraction form
   23,458/49,345 = 49,345/x
3. Step 3: Cross multiply
   23,458x = 49,345 × 49,345
4. Step 4: Simplify right side
   23,458x = 2,434,929,025
5. Step 5: Solve for x
   x = 2,434,929,025/23,458
6. Step 6: Final answer
   x = 103,799.52