Finding the Third Proportional to 25,746 and 34,483

Step by Step Solution

1. Step 1: Write the proportion equation
   25,746 : 34,483 = 34,483 : x
2. Step 2: Convert to fraction form
   25,746/34,483 = 34,483/x
3. Step 3: Cross multiply
   25,746x = 34,483 × 34,483
4. Step 4: Simplify right side
   25,746x = 1,189,077,289
5. Step 5: Solve for x
   x = 1,189,077,289/25,746
6. Step 6: Final answer
   x = 46,184.93