Finding the Third Proportional to 20,865 and 31,814

Step by Step Solution

1. Step 1: Write the proportion equation
   20,865 : 31,814 = 31,814 : x
2. Step 2: Convert to fraction form
   20,865/31,814 = 31,814/x
3. Step 3: Cross multiply
   20,865x = 31,814 × 31,814
4. Step 4: Simplify right side
   20,865x = 1,012,130,596
5. Step 5: Solve for x
   x = 1,012,130,596/20,865
6. Step 6: Final answer
   x = 48,508.54