Finding the Third Proportional to 7,828 and 10,058

Step by Step Solution

1. Step 1: Write the proportion equation
   7,828 : 10,058 = 10,058 : x
2. Step 2: Convert to fraction form
   7,828/10,058 = 10,058/x
3. Step 3: Cross multiply
   7,828x = 10,058 × 10,058
4. Step 4: Simplify right side
   7,828x = 101,163,364
5. Step 5: Solve for x
   x = 101,163,364/7,828
6. Step 6: Final answer
   x = 12,923.27