Finding the Third Proportional to 16,905 and 25,249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,905 : 25,249.50 = 25,249.50 : x
2. Step 2: Convert to fraction form
   16,905/25,249.50 = 25,249.50/x
3. Step 3: Cross multiply
   16,905x = 25,249.50 × 25,249.50
4. Step 4: Simplify right side
   16,905x = 637,537,250.25
5. Step 5: Solve for x
   x = 637,537,250.25/16,905
6. Step 6: Final answer
   x = 37,712.94