Finding the Third Proportional to 10,078 and 20,828

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078 : 20,828 = 20,828 : x
2. Step 2: Convert to fraction form
   10,078/20,828 = 20,828/x
3. Step 3: Cross multiply
   10,078x = 20,828 × 20,828
4. Step 4: Simplify right side
   10,078x = 433,805,584
5. Step 5: Solve for x
   x = 433,805,584/10,078
6. Step 6: Final answer
   x = 43,044.81