Finding the Third Proportional to 20,574 and 31,150

Step by Step Solution

1. Step 1: Write the proportion equation
   20,574 : 31,150 = 31,150 : x
2. Step 2: Convert to fraction form
   20,574/31,150 = 31,150/x
3. Step 3: Cross multiply
   20,574x = 31,150 × 31,150
4. Step 4: Simplify right side
   20,574x = 970,322,500
5. Step 5: Solve for x
   x = 970,322,500/20,574
6. Step 6: Final answer
   x = 47,162.56