Finding the Third Proportional to 27,648 and 59,242

Step by Step Solution

1. Step 1: Write the proportion equation
   27,648 : 59,242 = 59,242 : x
2. Step 2: Convert to fraction form
   27,648/59,242 = 59,242/x
3. Step 3: Cross multiply
   27,648x = 59,242 × 59,242
4. Step 4: Simplify right side
   27,648x = 3,509,614,564
5. Step 5: Solve for x
   x = 3,509,614,564/27,648
6. Step 6: Final answer
   x = 126,939.18