Finding the Third Proportional to 25,728 and 34,146

Step by Step Solution

1. Step 1: Write the proportion equation
   25,728 : 34,146 = 34,146 : x
2. Step 2: Convert to fraction form
   25,728/34,146 = 34,146/x
3. Step 3: Cross multiply
   25,728x = 34,146 × 34,146
4. Step 4: Simplify right side
   25,728x = 1,165,949,316
5. Step 5: Solve for x
   x = 1,165,949,316/25,728
6. Step 6: Final answer
   x = 45,318.30