Finding the Third Proportional to 39,648 and 57,288

Step by Step Solution

1. Step 1: Write the proportion equation
   39,648 : 57,288 = 57,288 : x
2. Step 2: Convert to fraction form
   39,648/57,288 = 57,288/x
3. Step 3: Cross multiply
   39,648x = 57,288 × 57,288
4. Step 4: Simplify right side
   39,648x = 3,281,914,944
5. Step 5: Solve for x
   x = 3,281,914,944/39,648
6. Step 6: Final answer
   x = 82,776.31