Finding the Third Proportional to 25,682 and 53,380

Step by Step Solution

1. Step 1: Write the proportion equation
   25,682 : 53,380 = 53,380 : x
2. Step 2: Convert to fraction form
   25,682/53,380 = 53,380/x
3. Step 3: Cross multiply
   25,682x = 53,380 × 53,380
4. Step 4: Simplify right side
   25,682x = 2,849,424,400
5. Step 5: Solve for x
   x = 2,849,424,400/25,682
6. Step 6: Final answer
   x = 110,950.25