Finding the Third Proportional to 20,906 and 31,846

Step by Step Solution

1. Step 1: Write the proportion equation
   20,906 : 31,846 = 31,846 : x
2. Step 2: Convert to fraction form
   20,906/31,846 = 31,846/x
3. Step 3: Cross multiply
   20,906x = 31,846 × 31,846
4. Step 4: Simplify right side
   20,906x = 1,014,167,716
5. Step 5: Solve for x
   x = 1,014,167,716/20,906
6. Step 6: Final answer
   x = 48,510.84