Finding the Third Proportional to 30,634 and 41,574

Step by Step Solution

1. Step 1: Write the proportion equation
   30,634 : 41,574 = 41,574 : x
2. Step 2: Convert to fraction form
   30,634/41,574 = 41,574/x
3. Step 3: Cross multiply
   30,634x = 41,574 × 41,574
4. Step 4: Simplify right side
   30,634x = 1,728,397,476
5. Step 5: Solve for x
   x = 1,728,397,476/30,634
6. Step 6: Final answer
   x = 56,420.89