Finding the Third Proportional to 21,184 and 27,096

Step by Step Solution

1. Step 1: Write the proportion equation
   21,184 : 27,096 = 27,096 : x
2. Step 2: Convert to fraction form
   21,184/27,096 = 27,096/x
3. Step 3: Cross multiply
   21,184x = 27,096 × 27,096
4. Step 4: Simplify right side
   21,184x = 734,193,216
5. Step 5: Solve for x
   x = 734,193,216/21,184
6. Step 6: Final answer
   x = 34,657.91