Finding the Third Proportional to 20,102 and 31,812

Step by Step Solution

1. Step 1: Write the proportion equation
   20,102 : 31,812 = 31,812 : x
2. Step 2: Convert to fraction form
   20,102/31,812 = 31,812/x
3. Step 3: Cross multiply
   20,102x = 31,812 × 31,812
4. Step 4: Simplify right side
   20,102x = 1,012,003,344
5. Step 5: Solve for x
   x = 1,012,003,344/20,102
6. Step 6: Final answer
   x = 50,343.42