Finding the Third Proportional to 25,853 and 53,323

Step by Step Solution

1. Step 1: Write the proportion equation
   25,853 : 53,323 = 53,323 : x
2. Step 2: Convert to fraction form
   25,853/53,323 = 53,323/x
3. Step 3: Cross multiply
   25,853x = 53,323 × 53,323
4. Step 4: Simplify right side
   25,853x = 2,843,342,329
5. Step 5: Solve for x
   x = 2,843,342,329/25,853
6. Step 6: Final answer
   x = 109,981.14