Finding the Third Proportional to 16,605 and 25,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,605 : 25,231.50 = 25,231.50 : x
2. Step 2: Convert to fraction form
   16,605/25,231.50 = 25,231.50/x
3. Step 3: Cross multiply
   16,605x = 25,231.50 × 25,231.50
4. Step 4: Simplify right side
   16,605x = 636,628,592.25
5. Step 5: Solve for x
   x = 636,628,592.25/16,605
6. Step 6: Final answer
   x = 38,339.57