Finding the Third Proportional to 23,574 and 31,472.25

Step by Step Solution

1. Step 1: Write the proportion equation
   23,574 : 31,472.25 = 31,472.25 : x
2. Step 2: Convert to fraction form
   23,574/31,472.25 = 31,472.25/x
3. Step 3: Cross multiply
   23,574x = 31,472.25 × 31,472.25
4. Step 4: Simplify right side
   23,574x = 990,502,520.06
5. Step 5: Solve for x
   x = 990,502,520.06/23,574
6. Step 6: Final answer
   x = 42,016.74