Finding the Third Proportional to 10,896 and 20,064

Step by Step Solution

1. Step 1: Write the proportion equation
   10,896 : 20,064 = 20,064 : x
2. Step 2: Convert to fraction form
   10,896/20,064 = 20,064/x
3. Step 3: Cross multiply
   10,896x = 20,064 × 20,064
4. Step 4: Simplify right side
   10,896x = 402,564,096
5. Step 5: Solve for x
   x = 402,564,096/10,896
6. Step 6: Final answer
   x = 36,946.04