Finding the Third Proportional to 6,491 and 12,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,491 : 12,809.50 = 12,809.50 : x
2. Step 2: Convert to fraction form
   6,491/12,809.50 = 12,809.50/x
3. Step 3: Cross multiply
   6,491x = 12,809.50 × 12,809.50
4. Step 4: Simplify right side
   6,491x = 164,083,290.25
5. Step 5: Solve for x
   x = 164,083,290.25/6,491
6. Step 6: Final answer
   x = 25,278.58