Finding the Third Proportional to 20,144 and 31,097

Step by Step Solution

1. Step 1: Write the proportion equation
   20,144 : 31,097 = 31,097 : x
2. Step 2: Convert to fraction form
   20,144/31,097 = 31,097/x
3. Step 3: Cross multiply
   20,144x = 31,097 × 31,097
4. Step 4: Simplify right side
   20,144x = 967,023,409
5. Step 5: Solve for x
   x = 967,023,409/20,144
6. Step 6: Final answer
   x = 48,005.53