Finding the Third Proportional to 10,455 and 16,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,455 : 16,205.50 = 16,205.50 : x
2. Step 2: Convert to fraction form
   10,455/16,205.50 = 16,205.50/x
3. Step 3: Cross multiply
   10,455x = 16,205.50 × 16,205.50
4. Step 4: Simplify right side
   10,455x = 262,618,230.25
5. Step 5: Solve for x
   x = 262,618,230.25/10,455
6. Step 6: Final answer
   x = 25,118.91