Finding the Third Proportional to 20,009 and 31,134

Step by Step Solution

1. Step 1: Write the proportion equation
   20,009 : 31,134 = 31,134 : x
2. Step 2: Convert to fraction form
   20,009/31,134 = 31,134/x
3. Step 3: Cross multiply
   20,009x = 31,134 × 31,134
4. Step 4: Simplify right side
   20,009x = 969,325,956
5. Step 5: Solve for x
   x = 969,325,956/20,009
6. Step 6: Final answer
   x = 48,444.50