Finding the Third Proportional to 20,116 and 31,085

Step by Step Solution

1. Step 1: Write the proportion equation
   20,116 : 31,085 = 31,085 : x
2. Step 2: Convert to fraction form
   20,116/31,085 = 31,085/x
3. Step 3: Cross multiply
   20,116x = 31,085 × 31,085
4. Step 4: Simplify right side
   20,116x = 966,277,225
5. Step 5: Solve for x
   x = 966,277,225/20,116
6. Step 6: Final answer
   x = 48,035.26