Finding the Third Proportional to 25,757 and 53,746

Step by Step Solution

1. Step 1: Write the proportion equation
   25,757 : 53,746 = 53,746 : x
2. Step 2: Convert to fraction form
   25,757/53,746 = 53,746/x
3. Step 3: Cross multiply
   25,757x = 53,746 × 53,746
4. Step 4: Simplify right side
   25,757x = 2,888,632,516
5. Step 5: Solve for x
   x = 2,888,632,516/25,757
6. Step 6: Final answer
   x = 112,149.42