Finding the Third Proportional to 43,198 and 57,410

Step by Step Solution

1. Step 1: Write the proportion equation
   43,198 : 57,410 = 57,410 : x
2. Step 2: Convert to fraction form
   43,198/57,410 = 57,410/x
3. Step 3: Cross multiply
   43,198x = 57,410 × 57,410
4. Step 4: Simplify right side
   43,198x = 3,295,908,100
5. Step 5: Solve for x
   x = 3,295,908,100/43,198
6. Step 6: Final answer
   x = 76,297.70