Finding the Third Proportional to 13,184 and 28,096

Step by Step Solution

1. Step 1: Write the proportion equation
   13,184 : 28,096 = 28,096 : x
2. Step 2: Convert to fraction form
   13,184/28,096 = 28,096/x
3. Step 3: Cross multiply
   13,184x = 28,096 × 28,096
4. Step 4: Simplify right side
   13,184x = 789,385,216
5. Step 5: Solve for x
   x = 789,385,216/13,184
6. Step 6: Final answer
   x = 59,874.49