Finding the Third Proportional to 25,546 and 34,095

Step by Step Solution

1. Step 1: Write the proportion equation
   25,546 : 34,095 = 34,095 : x
2. Step 2: Convert to fraction form
   25,546/34,095 = 34,095/x
3. Step 3: Cross multiply
   25,546x = 34,095 × 34,095
4. Step 4: Simplify right side
   25,546x = 1,162,469,025
5. Step 5: Solve for x
   x = 1,162,469,025/25,546
6. Step 6: Final answer
   x = 45,504.93