Finding the Third Proportional to 31,878 and 46,845

Step by Step Solution

1. Step 1: Write the proportion equation
   31,878 : 46,845 = 46,845 : x
2. Step 2: Convert to fraction form
   31,878/46,845 = 46,845/x
3. Step 3: Cross multiply
   31,878x = 46,845 × 46,845
4. Step 4: Simplify right side
   31,878x = 2,194,454,025
5. Step 5: Solve for x
   x = 2,194,454,025/31,878
6. Step 6: Final answer
   x = 68,839.14