Finding the Third Proportional to 6,460.50 and 7,419

Step by Step Solution

1. Step 1: Write the proportion equation
   6,460.50 : 7,419 = 7,419 : x
2. Step 2: Convert to fraction form
   6,460.50/7,419 = 7,419/x
3. Step 3: Cross multiply
   6,460.50x = 7,419 × 7,419
4. Step 4: Simplify right side
   6,460.50x = 55,041,561
5. Step 5: Solve for x
   x = 55,041,561/6,460.50
6. Step 6: Final answer
   x = 8,519.71