Finding the Third Proportional to 20,109 and 31,106

Step by Step Solution

1. Step 1: Write the proportion equation
   20,109 : 31,106 = 31,106 : x
2. Step 2: Convert to fraction form
   20,109/31,106 = 31,106/x
3. Step 3: Cross multiply
   20,109x = 31,106 × 31,106
4. Step 4: Simplify right side
   20,109x = 967,583,236
5. Step 5: Solve for x
   x = 967,583,236/20,109
6. Step 6: Final answer
   x = 48,116.92