Finding the Third Proportional to 25,848 and 34,656

Step by Step Solution

1. Step 1: Write the proportion equation
   25,848 : 34,656 = 34,656 : x
2. Step 2: Convert to fraction form
   25,848/34,656 = 34,656/x
3. Step 3: Cross multiply
   25,848x = 34,656 × 34,656
4. Step 4: Simplify right side
   25,848x = 1,201,038,336
5. Step 5: Solve for x
   x = 1,201,038,336/25,848
6. Step 6: Final answer
   x = 46,465.43