Finding the Third Proportional to 10,074 and 20,820

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074 : 20,820 = 20,820 : x
2. Step 2: Convert to fraction form
   10,074/20,820 = 20,820/x
3. Step 3: Cross multiply
   10,074x = 20,820 × 20,820
4. Step 4: Simplify right side
   10,074x = 433,472,400
5. Step 5: Solve for x
   x = 433,472,400/10,074
6. Step 6: Final answer
   x = 43,028.83