Finding the Third Proportional to 12,828 and 27,978

Step by Step Solution

1. Step 1: Write the proportion equation
   12,828 : 27,978 = 27,978 : x
2. Step 2: Convert to fraction form
   12,828/27,978 = 27,978/x
3. Step 3: Cross multiply
   12,828x = 27,978 × 27,978
4. Step 4: Simplify right side
   12,828x = 782,768,484
5. Step 5: Solve for x
   x = 782,768,484/12,828
6. Step 6: Final answer
   x = 61,020.31