Finding the Third Proportional to 20,133 and 31,413

Step by Step Solution

1. Step 1: Write the proportion equation
   20,133 : 31,413 = 31,413 : x
2. Step 2: Convert to fraction form
   20,133/31,413 = 31,413/x
3. Step 3: Cross multiply
   20,133x = 31,413 × 31,413
4. Step 4: Simplify right side
   20,133x = 986,776,569
5. Step 5: Solve for x
   x = 986,776,569/20,133
6. Step 6: Final answer
   x = 49,012.89