Finding the Third Proportional to 20,112 and 31,470

Step by Step Solution

1. Step 1: Write the proportion equation
   20,112 : 31,470 = 31,470 : x
2. Step 2: Convert to fraction form
   20,112/31,470 = 31,470/x
3. Step 3: Cross multiply
   20,112x = 31,470 × 31,470
4. Step 4: Simplify right side
   20,112x = 990,360,900
5. Step 5: Solve for x
   x = 990,360,900/20,112
6. Step 6: Final answer
   x = 49,242.29