Finding the Third Proportional to 27,648 and 42,400

Step by Step Solution

1. Step 1: Write the proportion equation
   27,648 : 42,400 = 42,400 : x
2. Step 2: Convert to fraction form
   27,648/42,400 = 42,400/x
3. Step 3: Cross multiply
   27,648x = 42,400 × 42,400
4. Step 4: Simplify right side
   27,648x = 1,797,760,000
5. Step 5: Solve for x
   x = 1,797,760,000/27,648
6. Step 6: Final answer
   x = 65,023.15