Finding the Third Proportional to 12,096 and 20,547

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 20,547 = 20,547 : x
2. Step 2: Convert to fraction form
   12,096/20,547 = 20,547/x
3. Step 3: Cross multiply
   12,096x = 20,547 × 20,547
4. Step 4: Simplify right side
   12,096x = 422,179,209
5. Step 5: Solve for x
   x = 422,179,209/12,096
6. Step 6: Final answer
   x = 34,902.38