Finding the Third Proportional to 31,824 and 62,845

Step by Step Solution

1. Step 1: Write the proportion equation
   31,824 : 62,845 = 62,845 : x
2. Step 2: Convert to fraction form
   31,824/62,845 = 62,845/x
3. Step 3: Cross multiply
   31,824x = 62,845 × 62,845
4. Step 4: Simplify right side
   31,824x = 3,949,494,025
5. Step 5: Solve for x
   x = 3,949,494,025/31,824
6. Step 6: Final answer
   x = 124,104.26