Finding the Third Proportional to 6,468 and 10,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,468 : 10,357.50 = 10,357.50 : x
2. Step 2: Convert to fraction form
   6,468/10,357.50 = 10,357.50/x
3. Step 3: Cross multiply
   6,468x = 10,357.50 × 10,357.50
4. Step 4: Simplify right side
   6,468x = 107,277,806.25
5. Step 5: Solve for x
   x = 107,277,806.25/6,468
6. Step 6: Final answer
   x = 16,585.93