Finding the Third Proportional to 20,436 and 31,574

Step by Step Solution

1. Step 1: Write the proportion equation
   20,436 : 31,574 = 31,574 : x
2. Step 2: Convert to fraction form
   20,436/31,574 = 31,574/x
3. Step 3: Cross multiply
   20,436x = 31,574 × 31,574
4. Step 4: Simplify right side
   20,436x = 996,917,476
5. Step 5: Solve for x
   x = 996,917,476/20,436
6. Step 6: Final answer
   x = 48,782.42