Finding the Third Proportional to 10,577.25 and 16,324.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,577.25 : 16,324.45 = 16,324.45 : x
2. Step 2: Convert to fraction form
   10,577.25/16,324.45 = 16,324.45/x
3. Step 3: Cross multiply
   10,577.25x = 16,324.45 × 16,324.45
4. Step 4: Simplify right side
   10,577.25x = 266,487,769.83
5. Step 5: Solve for x
   x = 266,487,769.83/10,577.25
6. Step 6: Final answer
   x = 25,194.43