Finding the Third Proportional to 4,173.56 and 6,499.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,173.56 : 6,499.69 = 6,499.69 : x
2. Step 2: Convert to fraction form
   4,173.56/6,499.69 = 6,499.69/x
3. Step 3: Cross multiply
   4,173.56x = 6,499.69 × 6,499.69
4. Step 4: Simplify right side
   4,173.56x = 42,245,937.60
5. Step 5: Solve for x
   x = 42,245,937.60/4,173.56
6. Step 6: Final answer
   x = 10,122.27