Finding the Third Proportional to 6,644 and 10,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,644 : 10,179.50 = 10,179.50 : x
2. Step 2: Convert to fraction form
   6,644/10,179.50 = 10,179.50/x
3. Step 3: Cross multiply
   6,644x = 10,179.50 × 10,179.50
4. Step 4: Simplify right side
   6,644x = 103,622,220.25
5. Step 5: Solve for x
   x = 103,622,220.25/6,644
6. Step 6: Final answer
   x = 15,596.36