Finding the Third Proportional to 27,648 and 41,984

Step by Step Solution

1. Step 1: Write the proportion equation
   27,648 : 41,984 = 41,984 : x
2. Step 2: Convert to fraction form
   27,648/41,984 = 41,984/x
3. Step 3: Cross multiply
   27,648x = 41,984 × 41,984
4. Step 4: Simplify right side
   27,648x = 1,762,656,256
5. Step 5: Solve for x
   x = 1,762,656,256/27,648
6. Step 6: Final answer
   x = 63,753.48