Finding the Third Proportional to 20,106 and 31,626

Step by Step Solution

1. Step 1: Write the proportion equation
   20,106 : 31,626 = 31,626 : x
2. Step 2: Convert to fraction form
   20,106/31,626 = 31,626/x
3. Step 3: Cross multiply
   20,106x = 31,626 × 31,626
4. Step 4: Simplify right side
   20,106x = 1,000,203,876
5. Step 5: Solve for x
   x = 1,000,203,876/20,106
6. Step 6: Final answer
   x = 49,746.54