Finding the Third Proportional to 25,888 and 28,096

Step by Step Solution

1. Step 1: Write the proportion equation
   25,888 : 28,096 = 28,096 : x
2. Step 2: Convert to fraction form
   25,888/28,096 = 28,096/x
3. Step 3: Cross multiply
   25,888x = 28,096 × 28,096
4. Step 4: Simplify right side
   25,888x = 789,385,216
5. Step 5: Solve for x
   x = 789,385,216/25,888
6. Step 6: Final answer
   x = 30,492.32