Finding the Third Proportional to 6,438 and 10,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,438 : 10,033.50 = 10,033.50 : x
2. Step 2: Convert to fraction form
   6,438/10,033.50 = 10,033.50/x
3. Step 3: Cross multiply
   6,438x = 10,033.50 × 10,033.50
4. Step 4: Simplify right side
   6,438x = 100,671,122.25
5. Step 5: Solve for x
   x = 100,671,122.25/6,438
6. Step 6: Final answer
   x = 15,637.02