Finding the Third Proportional to 6,488 and 10,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,488 : 10,034.50 = 10,034.50 : x
2. Step 2: Convert to fraction form
   6,488/10,034.50 = 10,034.50/x
3. Step 3: Cross multiply
   6,488x = 10,034.50 × 10,034.50
4. Step 4: Simplify right side
   6,488x = 100,691,190.25
5. Step 5: Solve for x
   x = 100,691,190.25/6,488
6. Step 6: Final answer
   x = 15,519.60