Finding the Third Proportional to 20,160 and 27,648

Step by Step Solution

1. Step 1: Write the proportion equation
   20,160 : 27,648 = 27,648 : x
2. Step 2: Convert to fraction form
   20,160/27,648 = 27,648/x
3. Step 3: Cross multiply
   20,160x = 27,648 × 27,648
4. Step 4: Simplify right side
   20,160x = 764,411,904
5. Step 5: Solve for x
   x = 764,411,904/20,160
6. Step 6: Final answer
   x = 37,917.26