Finding the Third Proportional to 16,765 and 25,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,765 : 25,189.50 = 25,189.50 : x
2. Step 2: Convert to fraction form
   16,765/25,189.50 = 25,189.50/x
3. Step 3: Cross multiply
   16,765x = 25,189.50 × 25,189.50
4. Step 4: Simplify right side
   16,765x = 634,510,910.25
5. Step 5: Solve for x
   x = 634,510,910.25/16,765
6. Step 6: Final answer
   x = 37,847.36