Finding the Third Proportional to 20,258 and 31,708

Step by Step Solution

1. Step 1: Write the proportion equation
   20,258 : 31,708 = 31,708 : x
2. Step 2: Convert to fraction form
   20,258/31,708 = 31,708/x
3. Step 3: Cross multiply
   20,258x = 31,708 × 31,708
4. Step 4: Simplify right side
   20,258x = 1,005,397,264
5. Step 5: Solve for x
   x = 1,005,397,264/20,258
6. Step 6: Final answer
   x = 49,629.64