Finding the Third Proportional to 20,091 and 31,110

Step by Step Solution

1. Step 1: Write the proportion equation
   20,091 : 31,110 = 31,110 : x
2. Step 2: Convert to fraction form
   20,091/31,110 = 31,110/x
3. Step 3: Cross multiply
   20,091x = 31,110 × 31,110
4. Step 4: Simplify right side
   20,091x = 967,832,100
5. Step 5: Solve for x
   x = 967,832,100/20,091
6. Step 6: Final answer
   x = 48,172.42