Finding the Third Proportional to 10,444.50 and 16,180.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,444.50 : 16,180.31 = 16,180.31 : x
2. Step 2: Convert to fraction form
   10,444.50/16,180.31 = 16,180.31/x
3. Step 3: Cross multiply
   10,444.50x = 16,180.31 × 16,180.31
4. Step 4: Simplify right side
   10,444.50x = 261,802,512.60
5. Step 5: Solve for x
   x = 261,802,512.60/10,444.50
6. Step 6: Final answer
   x = 25,066.06