Finding the Third Proportional to 31,083 and 46,884

Step by Step Solution

1. Step 1: Write the proportion equation
   31,083 : 46,884 = 46,884 : x
2. Step 2: Convert to fraction form
   31,083/46,884 = 46,884/x
3. Step 3: Cross multiply
   31,083x = 46,884 × 46,884
4. Step 4: Simplify right side
   31,083x = 2,198,109,456
5. Step 5: Solve for x
   x = 2,198,109,456/31,083
6. Step 6: Final answer
   x = 70,717.42