Finding the Third Proportional to 31,869 and 34,623

Step by Step Solution

1. Step 1: Write the proportion equation
   31,869 : 34,623 = 34,623 : x
2. Step 2: Convert to fraction form
   31,869/34,623 = 34,623/x
3. Step 3: Cross multiply
   31,869x = 34,623 × 34,623
4. Step 4: Simplify right side
   31,869x = 1,198,752,129
5. Step 5: Solve for x
   x = 1,198,752,129/31,869
6. Step 6: Final answer
   x = 37,614.99