Finding the Third Proportional to 6,289.50 and 12,977.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,289.50 : 12,977.25 = 12,977.25 : x
2. Step 2: Convert to fraction form
   6,289.50/12,977.25 = 12,977.25/x
3. Step 3: Cross multiply
   6,289.50x = 12,977.25 × 12,977.25
4. Step 4: Simplify right side
   6,289.50x = 168,409,017.56
5. Step 5: Solve for x
   x = 168,409,017.56/6,289.50
6. Step 6: Final answer
   x = 26,776.22