Finding the Third Proportional to 20,146 and 31,315

Step by Step Solution

1. Step 1: Write the proportion equation
   20,146 : 31,315 = 31,315 : x
2. Step 2: Convert to fraction form
   20,146/31,315 = 31,315/x
3. Step 3: Cross multiply
   20,146x = 31,315 × 31,315
4. Step 4: Simplify right side
   20,146x = 980,629,225
5. Step 5: Solve for x
   x = 980,629,225/20,146
6. Step 6: Final answer
   x = 48,676.13