Finding the Third Proportional to 20,328 and 31,681

Step by Step Solution

1. Step 1: Write the proportion equation
   20,328 : 31,681 = 31,681 : x
2. Step 2: Convert to fraction form
   20,328/31,681 = 31,681/x
3. Step 3: Cross multiply
   20,328x = 31,681 × 31,681
4. Step 4: Simplify right side
   20,328x = 1,003,685,761
5. Step 5: Solve for x
   x = 1,003,685,761/20,328
6. Step 6: Final answer
   x = 49,374.55