Finding the Third Proportional to 20,783 and 31,091

Step by Step Solution

1. Step 1: Write the proportion equation
   20,783 : 31,091 = 31,091 : x
2. Step 2: Convert to fraction form
   20,783/31,091 = 31,091/x
3. Step 3: Cross multiply
   20,783x = 31,091 × 31,091
4. Step 4: Simplify right side
   20,783x = 966,650,281
5. Step 5: Solve for x
   x = 966,650,281/20,783
6. Step 6: Final answer
   x = 46,511.59