Finding the Third Proportional to 6,504 and 10,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,504 : 10,444.50 = 10,444.50 : x
2. Step 2: Convert to fraction form
   6,504/10,444.50 = 10,444.50/x
3. Step 3: Cross multiply
   6,504x = 10,444.50 × 10,444.50
4. Step 4: Simplify right side
   6,504x = 109,087,580.25
5. Step 5: Solve for x
   x = 109,087,580.25/6,504
6. Step 6: Final answer
   x = 16,772.38