Finding the Third Proportional to 25,856 and 53,632

Step by Step Solution

1. Step 1: Write the proportion equation
   25,856 : 53,632 = 53,632 : x
2. Step 2: Convert to fraction form
   25,856/53,632 = 53,632/x
3. Step 3: Cross multiply
   25,856x = 53,632 × 53,632
4. Step 4: Simplify right side
   25,856x = 2,876,391,424
5. Step 5: Solve for x
   x = 2,876,391,424/25,856
6. Step 6: Final answer
   x = 111,246.57