Finding the Third Proportional to 10,755.50 and 16,295.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,755.50 : 16,295.25 = 16,295.25 : x
2. Step 2: Convert to fraction form
   10,755.50/16,295.25 = 16,295.25/x
3. Step 3: Cross multiply
   10,755.50x = 16,295.25 × 16,295.25
4. Step 4: Simplify right side
   10,755.50x = 265,535,172.56
5. Step 5: Solve for x
   x = 265,535,172.56/10,755.50
6. Step 6: Final answer
   x = 24,688.32