Finding the Third Proportional to 25,746 and 56,356

Step by Step Solution

1. Step 1: Write the proportion equation
   25,746 : 56,356 = 56,356 : x
2. Step 2: Convert to fraction form
   25,746/56,356 = 56,356/x
3. Step 3: Cross multiply
   25,746x = 56,356 × 56,356
4. Step 4: Simplify right side
   25,746x = 3,175,998,736
5. Step 5: Solve for x
   x = 3,175,998,736/25,746
6. Step 6: Final answer
   x = 123,358.92