Finding the Third Proportional to 20,034 and 31,185

Step by Step Solution

1. Step 1: Write the proportion equation
   20,034 : 31,185 = 31,185 : x
2. Step 2: Convert to fraction form
   20,034/31,185 = 31,185/x
3. Step 3: Cross multiply
   20,034x = 31,185 × 31,185
4. Step 4: Simplify right side
   20,034x = 972,504,225
5. Step 5: Solve for x
   x = 972,504,225/20,034
6. Step 6: Final answer
   x = 48,542.69