Finding the Third Proportional to 36,189 and 57,574

Step by Step Solution

1. Step 1: Write the proportion equation
   36,189 : 57,574 = 57,574 : x
2. Step 2: Convert to fraction form
   36,189/57,574 = 57,574/x
3. Step 3: Cross multiply
   36,189x = 57,574 × 57,574
4. Step 4: Simplify right side
   36,189x = 3,314,765,476
5. Step 5: Solve for x
   x = 3,314,765,476/36,189
6. Step 6: Final answer
   x = 91,595.94