Finding the Third Proportional to 16,914 and 25,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,914 : 25,273.50 = 25,273.50 : x
2. Step 2: Convert to fraction form
   16,914/25,273.50 = 25,273.50/x
3. Step 3: Cross multiply
   16,914x = 25,273.50 × 25,273.50
4. Step 4: Simplify right side
   16,914x = 638,749,802.25
5. Step 5: Solve for x
   x = 638,749,802.25/16,914
6. Step 6: Final answer
   x = 37,764.56