Finding the Third Proportional to 21,626 and 31,657

Step by Step Solution

1. Step 1: Write the proportion equation
   21,626 : 31,657 = 31,657 : x
2. Step 2: Convert to fraction form
   21,626/31,657 = 31,657/x
3. Step 3: Cross multiply
   21,626x = 31,657 × 31,657
4. Step 4: Simplify right side
   21,626x = 1,002,165,649
5. Step 5: Solve for x
   x = 1,002,165,649/21,626
6. Step 6: Final answer
   x = 46,340.78