Finding the Third Proportional to 25,897 and 34,045

Step by Step Solution

1. Step 1: Write the proportion equation
   25,897 : 34,045 = 34,045 : x
2. Step 2: Convert to fraction form
   25,897/34,045 = 34,045/x
3. Step 3: Cross multiply
   25,897x = 34,045 × 34,045
4. Step 4: Simplify right side
   25,897x = 1,159,062,025
5. Step 5: Solve for x
   x = 1,159,062,025/25,897
6. Step 6: Final answer
   x = 44,756.61