Finding the Third Proportional to 13,626 and 31,843

Step by Step Solution

1. Step 1: Write the proportion equation
   13,626 : 31,843 = 31,843 : x
2. Step 2: Convert to fraction form
   13,626/31,843 = 31,843/x
3. Step 3: Cross multiply
   13,626x = 31,843 × 31,843
4. Step 4: Simplify right side
   13,626x = 1,013,976,649
5. Step 5: Solve for x
   x = 1,013,976,649/13,626
6. Step 6: Final answer
   x = 74,414.84