Finding the Third Proportional to 6,176.25 and 12,760.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,176.25 : 12,760.88 = 12,760.88 : x
2. Step 2: Convert to fraction form
   6,176.25/12,760.88 = 12,760.88/x
3. Step 3: Cross multiply
   6,176.25x = 12,760.88 × 12,760.88
4. Step 4: Simplify right side
   6,176.25x = 162,839,930.77
5. Step 5: Solve for x
   x = 162,839,930.77/6,176.25
6. Step 6: Final answer
   x = 26,365.50