Finding the Third Proportional to 4,978.25 and 7,769.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,978.25 : 7,769.75 = 7,769.75 : x
2. Step 2: Convert to fraction form
   4,978.25/7,769.75 = 7,769.75/x
3. Step 3: Cross multiply
   4,978.25x = 7,769.75 × 7,769.75
4. Step 4: Simplify right side
   4,978.25x = 60,369,015.06
5. Step 5: Solve for x
   x = 60,369,015.06/4,978.25
6. Step 6: Final answer
   x = 12,126.55