Finding the Third Proportional to 40,378 and 57,798

Step by Step Solution

1. Step 1: Write the proportion equation
   40,378 : 57,798 = 57,798 : x
2. Step 2: Convert to fraction form
   40,378/57,798 = 57,798/x
3. Step 3: Cross multiply
   40,378x = 57,798 × 57,798
4. Step 4: Simplify right side
   40,378x = 3,340,608,804
5. Step 5: Solve for x
   x = 3,340,608,804/40,378
6. Step 6: Final answer
   x = 82,733.39