Finding the Third Proportional to 6,500.25 and 7,441.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500.25 : 7,441.88 = 7,441.88 : x
2. Step 2: Convert to fraction form
   6,500.25/7,441.88 = 7,441.88/x
3. Step 3: Cross multiply
   6,500.25x = 7,441.88 × 7,441.88
4. Step 4: Simplify right side
   6,500.25x = 55,381,503.52
5. Step 5: Solve for x
   x = 55,381,503.52/6,500.25
6. Step 6: Final answer
   x = 8,519.90